Answer:
You need to write log_2 80 in terms of log_2 5 , such that:
log_2 80 = log_2 (8*10)
Using the properties of logarithms, you need to convert the logarithm of product in summation of logarithms, such that:
log_2 (8*10)= log_2 8 + log_2 10
Since log_2 10 = log_2 (2*5) , yields:
log_2 (8*10)= log_2 8 + log_2 (2*5)
log_2 (8*10)= log_2 8 + log_2 2 + log_2 5
You need to write 8 as power of 2, such that:
log_2 (8*10) = log_2 (2^3) + log_2 2 + log_2 5
Using the power property of logarithms, log_a b^c = c*log_a b yields:
log_2 (8*10) = 3log_2 2 + log_2 2 + log_2 5
Since log_2 2 = 1 yields:
log_2 (8*10) = 3 + 1 + 2.3219
log_2 (8*10) = 4 + 2.3219 => log_2 (8*10) = 6.3219
Hence, evaluating the given logarithm , using the indicated properties of logarithms, yields log_2 (8*10) = 6.3219 .
Step-by-step explanation:
The value of [tex]log_2{80}[/tex] if [tex]log_25 = 2.3219[/tex] is 6.3219.
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, [tex]log_25 = 2.3219[/tex].
Now, To obtain the value of [tex]log_2{80}[/tex] we'll break it into suitable smaller parts.
Therefore,
[tex]log_2{80} = log_2({8\times10})[/tex].
[tex]log_2{80} = log_28 + log_210[/tex]
[tex]log_2{80} = log_28 + log_2({2\times5})[/tex].
[tex]log_2{80} = log_28 + log_22 + log_25[/tex].
[tex]log_2{80} = 3 + 1 + 2.3219[/tex].
[tex]log_2{80} = 6.3219[/tex].
learn more about logarithms here :
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Who has
✨ A n x i e t y ✨
Answer:
yupyup
Step-by-step explanation:
been having it for years now
You can multiply -2.2 by 6.2 to find the total variation in water level. What decimal represents the total variation in water level that Ericka observed?
50 points
BRAINLY TO WHO EVER IS FIRST
Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equivalent expression? Check all that apply.
Combine the constant terms by adding 7 and –2.
The equivalent expression is 9 + 3 k.
n, 5 k, and negative 3 k are like variable terms.
Combine the like variable terms by adding the coefficients.
5 k and negative 3 k are like variable terms.
The constants 7 and –2 are like terms.
The equivalent expression is 5 + 2 k + n.
Answer:
Shown Below
Step-by-step explanation:
7+5k-2-3k+n
If you combine like terms, you should get 5+2k+n.
Combine the constant terms by adding 7 and –2.Combine the like variable terms by adding the coefficients.5 k and negative 3 k are like variable terms.The constants 7 and –2 are like terms.The equivalent expression is 5 + 2 k + n.#12, what is this answer ?
Answer:
joan chris martin sara
Step-by-step explanation:
PLEASE HELP i really need the answer asap
Answer:
its 16
Step-by-step explanation:
8 /x = 10/20
20 * 8 =160
10 * x =10x
10x = 160
x=16
What is the value of x if
4x - 9 = 11?
A. 1/2
B.2
C.5
D.20
Answer:
C
Step-by-step explanation:
Answer: 4x-9=11
4(5)-9=11
20-9=11
11=11
Step-by-step explanation:
Does anyone know the answer to this please
I’m stuck on it .
Answer:
a=1/4
b=1/8
c=1/81
Source:trust me bro
Solve (v +3) - 44 = 0, where v is a real number.
Answer: V = 41
Explanation in the photo below
I alway get this wrong idk how pls help
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the total earned is d
you earn $4 after each hour (x), so you multiply
xoxo, your highness...which is it please help ill give kisses
Answer:
I think the answer is C
Step-by-step explanation:
solve for "x" : 2x + 3x + 4x =36
Answer:
4
Step-by-step explanation:
2x + 3x + 4x = 36
Evaluate like terms.
9x = 36
Find x.
x = 36 ÷ 9
x = 4
Answer:
b) 4
Step-by-step explanation:
2x+3x+4x=36
=5x+4x=36
=9x=36
x=36/9
x=4
Your grandmother is worried about the heat during the family reunion picnic yesterday between 10 am and noon the temperature rose 6 degrees then between noon and 3pm it rose 4 degrees what was the average rate of increase in temperature between 10am and 3pm
Answer:
Average rate of temperature increase is 2 degrees per hour
Step-by-step explanation:
Here, we want to calculate the average rate of increase in temperature
From what we have above, we can calculate this by dividing the total temperature rise by the number of hours
The total temperature rise is 6 + 4 = 10 degrees
This means that the temperature rose by 10 degrees between 10 am and 3 pm
The number of hours between 10 am and 3 pm is 5 hours
So the average rate of temperature increase is 10 degrees/ 5 hours = 2 degree per hour
Which of the following equations have no solutions?
Answer:
A
Step-by-step explanation:
If the variable quantities are the same, but the constants are different, then that equation has no solutions.
The problem could also solved using the ___formula?
Answer:
right,correct can be used here
What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?
Step-by-step explanation:
The solution is one-solution
.3(12x-16)=.4(12-3x) (you do the distributive property)
3.6x-4.8=4.8-.12x (you add 1.2 to both sides)
3.6x-3.6=4.8 (You add 3.6 to both sides)
3.6x=8.4 ( You divide 3.6 both numbers)
x=0.4285...
Its a one-solution
In 2/3 divided by 4/5 the____ is 2/3 .
Answer:
Numerator
Step-by-step explanation:
2/3 / 4/5. 2/3 is the numerator of the compound fraction.
Find the median for the given sample data. The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. 24 26 24 27 27 24 29 26 34 30 30 28 23 30 24 19 14 26 26 26 Find the median number of vehicles going through the line in a fifteen-minute period.
Answer: 26
Step-by-step explanation: You would order the numbers from least to greatest, then find the middle number of the set.
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
The area of the triangle is
square inches.
fill in the blanks
Answer:
8
Step-by-step explanation:
You could make any amount but 8 dos work if the triangle is a 2 by 8
Please help!
3 3/4 = r + 1/8
Answer:
r = 29/8 or 3 5/8
Step-by-step explanation:
so you need to make them have the same denominator so you multiply 3/4 by 2/2 to get that
this equals 6/8
add 3 so 24/8
then you subtract 1/8 from both sides
r = 29/8
simplify so 29/8 = 3 5/8
in having trouble can someone help me please
Answer:
-19
Step-by-step explanation:
Input -6 for n and solve: 3(-6)-1
Answer:
-19
Step-by-step explanation:
3 (-6) - 1 = -19
What does the zero on a graph represent
Answer:
the origin
Step-by-step explanation:
Answer:
The origin
Step-by-step explanation:
(0,0) is often called the origin.
Is the relation a function?
Answer:
No it is not because of the 3 it is repeating and it is not a function
Step-by-step explanation:
A _____ is a statement that has been proved
Answer:
Fact
Step-by-step explanation:
A Fact is a statement that has been proved :)
how many natural numbers from 78 to 24?
find the slope of each line
y = 2x - 2
y = 7/3x + 2
2x + y = -5
4x - 5y = -20
Answer: first one is 2 second one is not linear the 3rd one is -2 and the 4th one is 4/3
Step-by-step explanation: use the equation y=mx + b u dont have to find anything the slope is already given to you
Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8
A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_
Answer:
A. -4< n<8 B.-4< n< 8
Step-by-step explanation:
Answer:
D.-4<n<8
Step-by-step explanation:
please please help im gonna fail
. ...........................................
.........
.
Answer:
lol bro I'm failing too. Maybe it's a
write the equation. the output of a function is 6 more than 2 times the input.
Answer:
y = 2x+6
Step-by-step explanation:
Let the output value be y
Let the input value be x
the output of a function is 6 more than 2 times the input
2 times the input is expressed as 2x
6 more than 2 times the input is expressed as 2x + 6
Since the output of a function is 6 more than 2 times the input, we will equate y to the resulting equation to have;
y = 2x + 6
Hence the required equation is y = 2x+6
help 20 points btw............
SOLVE THIS PROOF PLEASE
Answer:
wait what are you trying to find i-
Step-by-step explanation: