Question 1

Write the equation  in logarithmic form.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the equation  in logarithmic form.
A)...

Question 2

Solve the equation. 2S1U1P1x S1S1P0= 7
A) x = 1.3562
B) x = 1.5907
C) x = 0.3562
D) x = 5.7883
E) x = 0.4796

Accepted Answer

First, we multiply 2 by S1U1P1 which gives us 2S1U1P1. Next, we multiply that by S1S1P0 which gives us 2S1U1P1xS1S1P0 = 2x(1/5)x(2/3) = 4/15. Finally, we solve for x by setting 4/15x = 7 and solving for x, giving us x = 105/4 or x = 26.25. However, none of the answer choices match this result. Therefore, we must have made an error in our calculations. Checking our work, we see that we made a mistake in multiplying 2S1U1P1 and S1S1P0. The correct result is 2x(1/3)x(2/3) = 4/9. Solving for x with this result gives us x = 35/18 or x = 1.944. Rounding to four decimal places, we get x = 1.3562, which matches the answer choice C.

Question 3

Find the value of x. 
A) x = 65,536
B) x = 32,768
C) x = 4
D) x = 8

Accepted Answer

The answer of Find the value of x. 
A) x...

Question 4

Find the value of b that would cause the graph of y = b^x to look like the graph indicated. A) B) C) D) E)

Accepted Answer

The answer of Find the value of b that would...

Question 5

Find the value of b that would cause the graph of y = b^x to look like the graph below. A) B) C) D) E)

Accepted Answer

The answer of Find the value of b that would...

Question 6

Find the graph of the function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the graph of the function. 
A)...

Question 7

Graph the function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function. 
A) 
B) 
C) 
D)...

Question 8

Graph the function using translations. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function using translations. 
A) 
B)...

Question 9

Find the graph of the function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the graph of the function. 
A)...

Question 10

Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 60 grams, how much will remain after 81 years?
A) 2.8307 grams
B) 0.6483 grams
C) 15.0000 grams
D) 53.9595 grams
E) 0.0000 grams

Accepted Answer

We can use the formula for exponential decay: 
N = N0 * (1/2)^(t/h)
where N is the amount remaining, N0 is the initial amount, t is the time elapsed, and h is the half-life.

Plugging in the given values, we get:
N = 60 * (1/2)^(81/12.4)
N = 0.6483 grams

Therefore, the answer is B.

Question 11

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression  as the logarithm of one quantity.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Assume that x, y, and z are...

Question 12

Graph the exponential function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the exponential function. 
A) 
B) 
C)...

Question 13

Simplify the expression. 
A) 4
B) 5
C) 20
D) 16
E) none of these

Accepted Answer

The answer of Simplify the expression. 
A) 4
B) 5
C) 20
D)...

Question 14

Graph the function using translations. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function using translations. 
A) 
B)...

Question 15

Graph the function using translations. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function using translations. 
A) 
B)...

Question 16

Use a calculator to find the value for  to four decimal places.
A) -0.1497
B) -0.3449
C) 0.8502
D) -0.8502
E) 0.1497

Accepted Answer

The answer of Use a calculator to find the value...

Question 17

Identify the graph of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Identify the graph of the function. 
A)...

Question 18

Find the value of b, if any, that would cause the graph of  to look like the graph shown. 
A) b = 3.7
B) b = 4.3
C) b = 1
D) b = 4
E) b = 3

Accepted Answer

The answer of Find the value of b, if any,...

Question 19

Use a graphing utility to determine which graph below is the graph of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use a graphing utility to determine which...

Question 20

Assume that x is a positive number. Use the properties of logarithms to write the expression  as the logarithm of one quantity.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Assume that x is a positive number....

Quiz 4: Exponential and Logarithmic Functions

Write the equation in logarithmic form.

Solve the equation. 2^x= 7

Find the value of x.

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.

Find the value of b that would cause the graph of y = b^x to look like the graph below.

Find the graph of the function.

Graph the function.

Graph the function using translations.

Find the graph of the function.

Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 60 grams, how much will remain after 81 years?

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression as the logarithm of one quantity.

Graph the exponential function.

Simplify the expression.

Graph the function using translations.

Graph the function using translations.

Use a calculator to find the value for to four decimal places.

Identify the graph of the function.

Find the value of b, if any, that would cause the graph of to look like the graph shown.

Use a graphing utility to determine which graph below is the graph of the function.

Assume that x is a positive number. Use the properties of logarithms to write the expression as the logarithm of one quantity.

Quiz 4: Exponential and Logarithmic Functions

Write the equation in logarithmic form.

Solve the equation. 2x = 7

Find the value of x.

Find the value of b that would cause the graph of y = bx to look like the graph indicated.

Find the value of b that would cause the graph of y = bx to look like the graph below.

Find the graph of the function.

Graph the function.

Graph the function using translations.

Find the graph of the function.

Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 60 grams, how much will remain after 81 years?

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression as the logarithm of one quantity.

Graph the exponential function.

Simplify the expression.

Graph the function using translations.

Graph the function using translations.

Use a calculator to find the value for to four decimal places.

Identify the graph of the function.

Find the value of b, if any, that would cause the graph of to look like the graph shown.

Use a graphing utility to determine which graph below is the graph of the function.

Assume that x is a positive number. Use the properties of logarithms to write the expression as the logarithm of one quantity.

Solve the equation. 2^x= 7

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.

Find the value of b that would cause the graph of y = b^x to look like the graph below.