what is the logarithmic form for
[tex]2 { }^{x - 4} = 32[/tex]
Answers
Answer:
[tex]2^x-4=32\quad :\quad x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=5.16992\dots \right)\\\\2^x-4=32 \\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2^x-4+4=32+4\\\mathrm{Simplify}\\2^x=36\\\\apply exponential rule\\x\ln \left(2\right)=\ln \left(36\right)\\x\ln \left(2\right)=\ln \left(36\right)\\x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}[/tex]
hope it helps:)
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Related Questions
The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 14, 17
A. Acute Triangle
B. Obtuse Triangle
C. Right Triangle
Answers
Answer:
A. Acute TriangleStep-by-step explanation:
Lets verify with Pythagorean:
17² = 28913² + 14² = 169 + 196 = 365289 < 365The angle opposite to a greater side is less than 90° and the sum of the squares are close.
It means all three angles are less than 90°.
With this the triangle is acute.
Correct choice is A.
Find the radius of a circle with a diameter of 17 inches.
Answers
Answer:
r=8.5 in
Step-by-step explanation:
Using the formula
d=2r
Solving for r
r=d
2=17
2=8.5in
hope this helps.
River Otters Drinks about 5 times as much as water as a bald eagle drink in a day
Answers
So we know that the bald eagle drinks 0.16 per day. (I am not sure liters, gallons, etc because it is not stated in the question.) Now, the question tells us that River Otters drink about 5 times MORE then the bald eagle. So first we need to multiply.
0.16 × 5 = 0.8
So river otters drink about 0.8 per day.
Now to find out how much a River Otter drinks in 3 days do:
0.8 × 3 = 2.4
Answer: River Otters drink 2.4 water in 3 days.
PS. Please check which unit it is and add the unit. Sometimes points get cut off without the units!
HELP WILL GIVE YOU Brainiest!!!
Answers
Answer:
Step-by-step explanation:
So there we have it, <A=135° and <B=45°. This should check when you add them together ("<A and <B are supplementary which means that together their angles equal 180°"). Does 135°+45=180°? YES!
I Really hope it helps
WILK MARK BRAINLIEST!!
Answers
Answer:
I think the answer is 8.
Step-by-step explanation:
Solve the function.
h(x)= 6x - 10
————-
X + 3
Help please
Answers
Answer:
X+3=0
X=-3
H(x)=6*-3 - 10
H(x) =-18 - 10
H(x) =-28
Write the linear equation in slope-intercept form given the following: 3x – y = 5
Answers
Answer:
[see below]
Step-by-step explanation:
[tex]3x-y=5\\\\3x-3x-y=5-3x\\\\-y=5-3x\\\\\frac{-y=-5+3x}{-1} \\\\y=-5+3x\\\\\boxed{y=3x-5}[/tex]
Hope this helps.
if Billy has 23 chairs and the sun is orange on Tuesdays, what color is Sarah's hair at 2:73 in the morning if she eats a candle 1 hour and 26 minutes before 2:73am?
Answers
Answer:
I think the answer is Africa, I dunno.
Step-by-step explanation:
Solve for x
help pls
Answers
Answer:
this is the answer!
Step-by-step explanation:
hi please help i’ll give brainliest please
Answers
(28y+63)
Hope this helps!
7.50x30 help i hate math
Answers
Answer:
225
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
7.50 times 30 = 225
PLZ IF RIGHT I WILL GIVE BRAINLIST: One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.
Ans=______%
Answers
the answer is it decreased 17%
im not 100% btw
-What is the solution to the following?
4(x - 1) - 3x = -2x - 4 + 3x
A. X= -4
B. x = 0
C. no solution
D. infinite solutions
Answers
11. If 3x + 2 = 11, what is the value of 4x?
Answers
You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a top. What percent tip did you leave
Answers
Answer:
82.2%
Step-by-step explanation:
You gave them $4.11 extra and 4.11 of 5 is 82.2
A used book store also started selling used CDs and DVDs. In the first week, the store sold 40 used CDs and DVDs, at
$6.00 per CD and $4.00 per DVD. The sales for both CDs and DVDs totaled $180.00. Write a system of equations to
represent this situation
Answers
Answer:
6c + 4d = 180
c + d = 40
c represents the CDs and d represents the DVDs.
What is the range of (-5, 2), (-2, 4), (2, -7), (4, 8)?
Answers
What is the value of x in the equation shown below?
x3 + 1 = 9
Answers
Answer:
x = 7/3 or 2.33
Step-by-step explanation:
x3 + 1 = 8
x3 = 8 - 1
x3 = 7
x = 7/3 or 2.33
HOPE THIS HELPS YOU!! :)
Answer: x = 2
Step 1.
In order to solve this non-linear equation, we need to move all the terms to the left side.
In x³ + 1 = 9...
- term 1, will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the equation to the other.
Rewrite the equation like this: (x³ + 1) + (-1) = 9 + (-1)
Step 2.
Add x³ + 1 + (-1)
x³ + 1 + (-1) = 8
Now, x = 8.
Step 3.
In this non-linear equation, the variable needs to be isolated.
This is accomplished when both sides are exponentiated by the reciprocal of the variable's exponent, which in our example, 1/3 is equal to
Notice that since we exponentiated a simplified fraction with an odd denominator, only one solution has been created.
Rewrite the equation: [tex](x^3)^\frac{1}{3} =8^\frac{1}{3}[/tex]
Step 4.
We need to exponentiate the power.
The following rule is applied: [tex](A^B)^C=A^B^C[/tex]
According to the formula,
A = X
B = 3
C = 1/3
Rewrite the equation: [tex]x^3^\times^\frac{1}{3} =(2^3)^\frac{1}{3}[/tex]
Step 5.
We need to reduce this fraction, the 3 in x to the lowest terms.
This can be done by dividing out those factors that appear both in the numerator and in the denominator.
In our example, 3 is the common factor.
Rewrite the equation: [tex]x=2^\frac{3}{3}[/tex]
Step 6.
Lastly, we'll need to do the same thing as we did in step 5. Reduce the fraction in [tex]x=2\frac{3}{3}[/tex]. This can be done by dividing out those factors that appear both in the numerator and in the denominator.
Hence, the common factor is 3 since it occurs both in the numerator and the denominator.
Hence, x = 2.
A jet pilot flew a distance of 3,311 mi in 5 hour and 30 min. Find the planes average rate of speed. Please Help me! I would really appreciate it if someone helped me as soon as possible. Can you also explain how you got your answer?
Answers
Answer: 602 miles
Step-by-step explanation:
The average rate of speed is calculated by the formula;
= Distance / Time
You need to convert the time into hours. Time is 5 hours 30 mins.
Convert those minutes to hours:
1 hour is 60 minutes so 30 minutes would be:
= 30 / 60
= 0.5 hours
Total time = 5 hours + 0.5 hours
= 5.5 hours
Now go back to speed equation:
Speed = 3,311 / 5.5
= 602 miles
what is the leading coefficient ? 6x+2x(3)-5
Answers
Answer:
2
Step-by-step explanation:
The correct order in which the equation is written would be:
[tex]2x^{3} + 6x - 5[/tex]
So, when ordered correctly the leading coefficient is the first number, so with this equation that would be 2.
A baker is selling 2 types of doughnuts: glazed doughnuts, g, and jelly doughnuts, j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what would be the constraints that represent how many doughnuts the customer can buy?
Answers
Answer:
g ≥ 1; j ≥ 1; g + j ≤ 12
Step-by-step explanation:
I had the same question and I got this right
Answer:
I just took its right!!
Step-by-step explanation:
Please help 20 points to who ever can
Answers
Answer:
how is your mom doing tell her last night was crazy :D
Step-by-step explanation:
Answer:
82 62 163 and 300 are correct
Step-by-step explanation:
Find the measures of the numbered angles in the quadrilateral.
Answers
Answer:
c
Step-by-step explanation:
angles in a triangle r equal to 180
180-90-65 is equal to 25
and 1 is 90 degree
TIMED TEST. HELP
The standard form of an absolute value function is fx) = a |x-h| + k. Which of the following represents the vertex?
O (-k, h)
0 (-h, k)
O (k, h)
O (h, k)
Answers
HELP ME PLEASE!! LOTS OF POINTS
Answers
Answer:
all rational
Step-by-step explanation:
find the square root then add to fraction
down below is a cheatsheet.
What is the value of x?
40"
X
55
O A. 85°
O B. 105°
O c. 75°
D. 95°
Answers
Answer:
A. 85°
Step-by-step explanation:
By interior angle sum theorem of a triangle.
x = 180° - ( 40° + 55°)
x = 180° - 95°
x = 85°
Answer:
A. 85
Step-by-step explanation:
Youd do 40+55 and that equals 95 and then since a triangle qdds up to 180 degrees, 180-95=85
WILL MARK BRAINLIEST
The graph of F(x), shown below, has the same shape as the graph of G(X) = x3 - x2, but it is shifted to the left 2 units. What is its equation?
O A. F(x) = (x - 2)3 - (x - 2)2
O B. F(X) = (x + 2)3 - (x + 2)2
O C. F(x) = x3 - x2 - 2
O D. F(x) = x3 - x2 + 2
Answers
Answer:
B
Step-by-step explanation:
After the translation of 2 units left, the function becomes f(x)=(x-2)³-(x-2)². Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is g(x)=x³-x².
When the shape is moved towards the left by k units, then replace x with x - k.
The function shifted to the left 2 units.
So, the function is f(x)=(x-2)³-(x-2)²
Therefore, option A is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ7
Please help me solve “Expand log3 4x”
Answers
Answer:
Look below.
Step-by-step explanation:
Log3^4x
4xLog3 ------> To expand you would take the exponent and put infront of Log
This is the answer if its expanded. The question was sort of scarce so if this is wrong im sorry.
The expansion of the given logarithm [tex]\mathbf{Log_3 (4x^2)}[/tex] is [tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]
What is the expansion of the logarithm?A Logarithm is an exponent to which a base must be raised in order to result in a given number. The expansion of the logarithm takes a predictable approach and set guidelines.
Using the set formula for solving logarithms;
[tex]\mathbf{log_a(x^n) = n \ log_a \ x}[/tex]
Let's assume that the correct equation given is:
[tex]\mathbf{=Log_3 (4x^2)}[/tex]
Using the above formula, we have
[tex]\mathbf{= 2 Log_3 (4x)}[/tex]
By expansion;
[tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]
Learn more about logarithm here:
https://brainly.com/question/237321
9. A group of students were asked
to vote for their favorite kind of pizza.
For every 5 students that voted for
cheese, 1 voted for pepperoni. A
total of 150 students voted. How
many students voted for pepperoni?
Answers
Answer:
25 students voted for peperoni
How many vertices does this figure have?
Answers
8 verticles 4 at the bottom and 4 on the sides