If log (100ab^2) is expressed as a function of log b, the result would be:
1). 2 log a + 2 log b
2). 100 log a + 2 log b
3). 2 + log a + 2 log b
4). 2 + 2 log a + 2 log 6

Answers

Answer 1

Answer:  Choice (3)

2 + log(a) + 2*log(b)

======================================================

Work Shown:

The log rules we'll use are

log(xy) = log(x)+log(y)log(x^y) = y*log(x)log(10) = 1, where the log is base 10

So,

c = log(100ab^2)

c = log(100) + log(a) + log(b^2) ......... use log rule 1

c = log(10^2) + log(a) + log(b^2)

c = 2*log(10) + log(a) + 2*log(b) ......... use log rule 2

c = 2*1 + log(a) + 2*log(b) .................... use log rule 3

c = 2 + log(a) + 2*log(b)

Note: The use of rule 3 assumes that all logs shown are in base 10, which is the default assumed base. Rule 3 doesn't work for any general base. The more generalized rule is [tex]\log_b(b) = 1[/tex]. If b = 10, then we get rule 3 above.


Related Questions

this is easy just answer

4x-2+8=
(x=5)

Answers

Answer:

........................................26

heeeeeeeellllllpppppp quickly​

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Answer:

A

Step-by-step explanation:

7(1 - x) = -3(x - 2) What is x please help me

Answers

7(1-x)=-3(x-2) distribute(multiply)
7-7x=-3x+6 add 7 to both sides.
+7 +7
7=4x+6 Subtract 6 to both sides.
-6 -6
1=4x divide by 4.
4 4
1/4=X this is the answer
I hope this helps you :D

What is the surface area of the pyramid

Answers

Answer:

The surface area is 31.85 in.

Step-by-step explanation:

what is the opposite of -(-15)

Answers

Answer:

-15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Its a positive in the first place bc of the two negatives beside each other so the opposite would be -15

Y’all I need help with this! Someone help me please and thank you! Can y’all like tell me the steps if possible! (Y=Mx+b)

Question:Y+2x=16

Answers

Answer:

y = -2x + 16

Step-by-step explanation:

y = mx + b

__________

y + 2x = 16

y + 2x - 2x = 16 - 2x

y = -2x + 16

Answer:

Y=-2x+16

Step-by-step explanation:

PLS GIVE BRAINLIEST

What is the domain and range please?

Answers

Answer:

Domain: -2 < x < 2

Range: 1 < y < 5

Step-by-step explanation:

Domain is the set of numbers that are on the x axis

Range is the set of numbers that are on the y axis

The expression -7y is a

Term

Constant

Variable​

Answers

Answer:

in -7y y is variable and -7 is Constant

Step-by-step explanation:

Constant: A number that cannot change its value. In the expression 2x+4y−9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy

variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set.

Solve by factoring. Check your answer.
[tex]x^2-4x=0[/tex]

Please show all work. Thanks!!!

Answers

Answer:

x=0 or x=4

Step-by-step explanation:

Lets Solve!

First we need to factor the left side of the equation. Both terms include x.

[tex]x^2-4x =0[/tex]

[tex]x(x-4) =0[/tex]

If we multiplied x by (x-4) we would be back at [tex]x^2-4x =0[/tex].

Set factors equal to 0.

x=0 or x−4=0

x=0 or x=4

Woohoo! Brainliest Appretiated! Hope I helped!

Answer:

[tex]x=0,4[/tex]

Step-by-step explanation:

Factor out the common terms from x²-4x. You can factor out x:

[tex]x(x-4)=0[/tex]

Multiplication can be seen as (_)(_). Rewrite:

[tex](x)(x-4)=0[/tex]

Set both equal to 0:

[tex]x=0\\\\x-4=0[/tex]

Simplify the second equation:

[tex]x-4=0\\\\x-4+4=0+4\\\\x=4[/tex]

So, x=0 or x=4

:Done

help I will mark brainlist

Answers

Answer:

D.) j

Step-by-step explanation:

J because if in one month there is $32 and then in 2 months there are $64 its multiplying 32 times 2 and that gets 64 then 64 plus 32 is 96 then plus 32 again and that gives you 128. Its multiplying 32 times 2 then 32 times 3 then 32 times 4 and that gives you your answer.

Hope this helped!



200x - 400 > 40x - 80

Answers

Answer:

x>2

That is the answer do you want the work?

¿Cuantas dimensiones tiene una cebolla?

Answers

Answer:

Una cebolla es un objeto tridimensional, en tanto tiene una profundidad, una altura y una anchura específicas.

Se entiende por tres dimensiones a la posibilidad de percibir un objeto a través de tres expresiones geométricamente diferentes: a través de su altura, es decir, su longitud; a través de su anchura, es decir, su extensión hacia los lados; y a través de su profundidad, entendida como la extensión que tiene el objeto desde sus bordes hacia adentro.

what is the slope perpindicular to line 5x+3

Answers

Answer:

[tex]-\frac{1}{5} x+b[/tex] (b can equal any number- you can use 3)

Step-by-step explanation:

To find the slope, you take mx (in this case 5x), get the number by itself, flip the sign, then get the reciprocal.

5 -> -5 -> [tex]-\frac{1}{5}[/tex]

y+3=2(x+5), write the equation of the line in slope intercept form.

Answers

Answer:

slope intercept form: y=mx+b

y+3=2(x+5)

step 1: use distributive property

y+3=2(x)+2(5)

y+3=2x+10

step 2: subtract 3 on both sides to make y by itself

y+3=2x+10

-3 -3

final answer: y=2x+7

Help me please. I’m trying very hard.

Answers

Answer:

27/3

Step-by-step explanation:

50-(18+5)= 27

27/3

Read the excerpt from The Strange Case of Dr. Jekyll and Mr. Hyde.

This hall, in which he was now left alone, was a pet fancy of his friend the doctor’s; and Utterson himself was wont to speak of it as the pleasantest room in London. But tonight there was a shudder in his blood; the face of Hyde sat heavy on his memory; he felt (what was rare with him) a nausea and distaste of life; and in the gloom of his spirits, he seemed to read a menace in the flickering of the firelight on the polished cabinets and the uneasy starting of the shadow on the roof. He was ashamed of his relief, when Poole presently returned to announce that Dr. Jekyll was gone out.

Which statement best describes how the author establishes mood in the excerpt?

a.The author’s description of the grand room creates an admiring mood.
b.The author’s description of physical symptoms creates an anxious mood.
c.The author’s mention of Utterson’s thoughts creates a sentimental mood.
d.The author’s mention of Utterson’s spirits creates a spiritual mood.

Answers

Answer:

b.The author’s description of physical symptoms creates an anxious mood.

Which of the following angles are congruent to 5?



Answers

Answer:

A) ∠1

Step-by-step explanation:

They are corresponding angles meaning that they are congruent to each other.

The congruent angle of angle 5 is [tex]\angle1[/tex]

Congruent angles:

When a transversal line cuts two parallel lines. the, corresponding and alternate angles are equal.

From given figure, It is observed that,

Corresponding angles are,

      [tex]\angle1 =\angle5,\angle3=\angle7[/tex]

Thus, the congruent angle of angle 5 is [tex]\angle1[/tex]

Learn more about congruent angles here:

https://brainly.com/question/12054594

In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020?

Answers

Answer:

5563.85 But round the nearest whole number is 5564

Step-by-step explanation:

Formule is P=Ie^(r)(t)

If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously,  then 5563.85 is the population in 2022.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

In 2010 the Network Club membership was 2,500.

Annual growth rate of approximately 8%

8% is converted to decimal value by dividing 8 with 100

8/100=0.08

[tex]P=Ie^{rt}[/tex]

p is the final population

I is the initial population

[tex]p=Ie^{0.08(10)}[/tex]

[tex]p=2500e^{0.8}[/tex]

p=5563.85

Hence, 5563.85 is the population in 2020.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ5

Find the slope and the y-intercept of the graph of y
-4/5x - 2

Answers

Answer:

slope - (-4/5)

y- intercept - (0,-2)

Step-by-step explanation:

Answer:

the slope is -4/5 and the y intercept is -2

Step-by-step explanation:

Find the slope of a line that includes the points (4, -2) and (5,0).​

Answers

Answer:

The slope is 2

Step-by-step explanation:

slope from two points

Answers

Answer:

[tex]\frac{12}{7}[/tex]

Step-by-step explanation:

use the formula [tex]\frac{y - y'}{x - x'}[/tex]

so you would get

[tex]\frac{4 - (-8)}{0 - (-7)}[/tex]

Those negatives becomes a positive and you get 4+8 = 12 and 0+7 = 7

you final answer would be [tex]\frac{12}{7}[/tex]

Answer: I am pretty sure the answer is D.

Step-by-step explanation:

so this is how u find the slope from two points... You have (-7,-8) and (0,4) you then take -7 and subtract that by 0 so -7-0 and then -8-4. and -7-0/-8-4 = 7/12. plz tell me if I am wrong.

Please help with the problem below.

Answers

Step-by-step

measure angle 1 is corresponding to measure angle 5

measure angle 5= measure angle 1= 71*

measure angle 5 + measure angle 8 = 180*

71*+ measure angle 8=180*

measure angle 8=109

Answer:

[tex]m\angle5 = 71\degree^{\circ}[/tex],

[tex]m\angle8=109^{\circ}[/tex]

Step-by-step explanation:

Given that [tex]a[/tex] and [tex]b[/tex] are parallel and [tex]m\angle1=71^{\circ}[/tex]:

[tex]m\angle5 = 71^{\circ}[/tex] (Corresponding angles are equal when [tex]a\parallel b[/tex] )

[tex]m\angle8+m\angle5=180^{\circ}[/tex] (The two angles make up the angle of a straight line: [tex]180^{\circ}[/tex]

[tex]m\angle8 + 71^{\circ} = 180^{\circ}[/tex]

[tex]m\angle8 = 109^{\circ}[/tex]

[tex]\therefore m\angle5=71^{\circ};m\angle8=109^{\circ}[/tex]

Hope this helps :)

A teacher wrote the following part of a chemical equation
involving water (H20) and carbon dioxide (CO2):
H2O + CO2?
What is the most likely result of the chemical reaction represented by this
equation?
A. H2Ca3
B. HNO3
C. Nacl
D. H2CO3
Brown is

Answers

Answer:

D

Step-by-step explanation:

H2CO3

ithink it is the answer maybe

Answer:

D. H2CO3

Step-by-step explanation:

D is the correct answer

Original price: $264.91
Markdown: 79%
The sale price is $

Answers

264.91 times .79 is 209.2789
Subtract 209.2789 from 264.91 is 55.6311
The sale price is $55.63

Fifth-grade students plant a class garden. They plant 7 1/6 rows of tomatoes and 3 1/2 rows of carrots. How many fewer rows of carrots than rows of tomatoes do the students plant?

Answers

Answer:

3 2/3

Step-by-step explanation:

7 1/6 - 3 1/2= 3 2/3

can someone please help me with math​

Answers

Answer:

[tex]x = 71[/tex]

Step-by-step explanation:

The first step to do is make a single triangle from the problem. That triangle can be BDH. We do still need the line BE, although that can wait.

Now find the last angle of the triangle. The sum of angles of a triangle always equal 180, so we can easuly find the missing angle.

[tex]180 - 40 - 31 = 109[/tex]

So the missing angle is 109°. Now we can find the value of x.

We can use that angle because it sits right next to x on the same line. A line is 180° at any node as long as the line continues straight, so we simply subtract the angle we just found to find x.

[tex]180 - 109 = 71[/tex]

Now we know x is 71

pls help
-21 ÷ b = 3, b = ? and uhm this one too
3c + 1 = 10, c = ?

Answers

Answer:

-21 ÷ b = 3, b =        b=-7

3c + 1 = 10, c =        c=1/7

Hope this helps!

Please can someone Help???

Answers

Answer:

Step-by-step explanation:

3). Definition of Congruent Angles

4). Substitution Property of Equality

5). 6x + 14 - 4x = 34 + 4x - 4x    Subtraction Property of Equality

6). 2x + 14 - 14 = 34 - 14   Subtraction Property of Equality

7). x = 10        Division Property of Equality

8). 6(10) + 14 = 74   Substitution Property of Equality

9). 34 + 4(10) = 74   Substitution Property of Equality

10). Angle addition Postulate

11). Substitution Property of Equality

i need help asappppp​

Answers

Answer:

make them all the separate rectangle

like 5*8+5*8+12*(15-8) = Answer

got it ?

Answer:

5*8=40

+5*8=40

+(15-8)= 7*12 =84 + 80

=164

Step-by-step explanation:

ps  happy thanksgiving

The ratio of boys to girls in a camp is 6 to 8. How many girls are there in the camp if there are 96 boys in the camp?

Answers

Answer:

128 girls

Step-by-step explanation:

The ratio of boys to girls is 6 to 8. We need to find how many girls there are if there are 96 boys in the camp. One way to solve this is by using cross multiplication:

[tex]\frac{6}{8}[/tex] = [tex]\frac{96}{x}[/tex]

multiply the 6 by the x: 6x

multiply 8 by 96: 768

6x = 768

divide both sides of the equation by 6 to isolate the x:

6x/6 = 768/6

x = 128

When there are 96 boys in camp, there will be 128 girls.

Answer:

6/8=96/x

Step-by-step explanation:

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