Free Printable Week 13: Review for Quiz on Exponential vs Logarithmic Equations

1.

Logarithms and Exponentials are what?

a)

parallel

b)

perpendiular

c)

inverses

d)

congurent

2.

Rewrite as an exponential:

\log_39=2

a)

$3^2=9$

b)

$2^3=9$

c)

$9^2=3$

d)

$3^9=2$

3.

Rewrite as a log:

5^3=125

a)

$\log_53=125$

b)

$\log_3125=5$

c)

$\log_5125=3$

d)

$\log_35=125$

4.

Rewrite as an exponential:

\log_6x=3

a)

$3^x=6$

b)

$6^3=x$

c)

$x^3=6$

d)

$6^x=3$

5.

Rewrite as a log:

8^x=12

a)

$\log_8x=12$

b)

$\log_{12}8=x$

c)

$\log_812=x$

d)

$\log_x12=8$

6.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

7.

Convert log(x)=5 to exponential form.

a)

1⁵=x

b)

10^x=5

c)

x⁵=10

d)

10⁵=x

8.

"log_e" is the same thing as...

a)

"e"

b)

Natural Logarithm (LN)

c)

Common Logarithm (Log)

9.

The natural logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

10.

Rewrite in exponential form:
ln(2) = x

a)

2^x= 10

b)

10² = x

c)

e^x= 2

d)

e² = x

11.

What type of function is represented on this table?

a)

Exponential

b)

Logarithmic

12.

What type of function is represented on this table?

a)

Exponential

b)

Logarithmic

13.

What type of function is represented on this table?

a)

Exponential

b)

Logarithmic

14.

What type of function is represented on this table?

a)

Exponential

b)

Logarithmic

15.

What type of function is represented on this table?

a)

Exponential

b)

Logarithmic

16.

What type of function is represented on this table?

a)

Exponential

b)

Logarithmic

17.

What does $a$ represent in the equation $y=a\cdot b^x$ ?

a)

the common ratio

b)

the y-intercept

c)

the x-intercept

d)

the exponent

18.

What does $b$ represent in the equation $y=a\cdot b^x$ ?

a)

the common ratio

b)

the y-intercept

c)

the x-intercept

d)

the exponent

19.

Write the exponential equation that represents the given table.

a)

$y=80\cdot4^x$

b)

$y=80\cdot\frac{1}{4}^x$

c)

$y=80-60x$

d)

$y=80+\frac{1}{4}x$

20.

Write the function that models the table.

a)

$g\left(x\right)=\frac{1}{2}\left(16\right)^x$

b)

$g\left(x\right)=16x-2$

c)

$g\left(x\right)=-2x+16$

d)

$g\left(x\right)=16\left(\frac{1}{2}\right)^x$

21.

Write the exponential equation that represents the given table.

a)

$y=5\cdot2^x$

b)

$y=10\cdot2^x$

c)

$y=5+2x$

d)

$y=10x+10$

22.

Which function models the table?

a)

$f\left(x\right)=9x-3$

b)

$f\left(x\right)=9\left(\frac{1}{3}\right)^x$

c)

$f\left(x\right)=\frac{1}{3}\left(9\right)^x$

d)

$f\left(x\right)=-3x+9$

23.

Write an equation for the exponential function below.

a)

y= 5(10)^x

b)

y= 5(2)^x

c)

y= 6(10)^x

d)

y= 6(2)^x

24.

Write the exponential equation that represents the given graph.

a)

$y=12-0.5x$

b)

$y=12\left(\frac{1}{2}\right)^x$

c)

$y=12\left(2\right)^x$

d)

$y=12-6x$

25.

Write the exponential equation that represents the given graph.

a)

$y=3\left(4\right)^x$

b)

$y=3\left(9\right)^x$

c)

$y=3+9x$

d)

$y=3+4x$

26.

Determine the exponential equation for the graph.

a)

$f\left(x\right)=0.5\left(4\right)^x$

b)

$f\left(x\right)=1\left(4\right)^x$

c)

$f\left(x\right)=4\left(0.5\right)^x$

d)

$f\left(x\right)=\frac{1}{2}\left(2\right)^x$

27.

Which equation matches the graph?

a)

$y=6\left(1.5\right)^x$

b)

$y=3x+6$

c)

$y=6\left(3\right)^x$

28.

Write an exponential function in the form y=ab^x that goes through points (0,4) and (2,324).

a)

y=4(9)^x

b)

y=9(4)^x

c)

y=2(4)^x

d)

y=4(81)^x

29.

Write an exponential function in the form y=ab^x that goes through points (0,9) and (3,72).

a)

y=9(3)^x

b)

y=2(9)^x

c)

y=9(2)^x

d)

y=8(3)^x

30.

Write an exponential function in the form y=ab^x that goes through points (0,10) and (2,160).

a)

y=10(2)^x

b)

y=4(10)^x

c)

y=16(4)^x

d)

y=10(4)^x

31.

Write an exponential function in the form y=ab^x that goes through points (0,3) and (4,48).

a)

y=3(2)^x

b)

y=2(2)^x

c)

y=2(3)^x

d)

y=4(3)^x

32.

What is the equation for the table?

a)

y = 4(2)^x

b)

y = 2(4)^x

c)

y = 2(8)^x

d)

y = -2(4)^x

33.

What values of b make an exponential growth function?

a)

b > 0

b)

b <1

c)

b > 1

d)

0 < b < 1

34.

An exponential function is defined by

f\left(x\right)=a\left(b\right)^x

.
Select all possible values of b so that f(x) represents exponential growth.

a)

0

b)

$\frac{1}{10}$

c)

$\frac{1}{2}$

d)

$\frac{11}{10}$

e)

1.3

35.

What values of b make an exponential decay function?

a)

b > 0

b)

b < 1

c)

b > 1

d)

0 < b < 1

36.

An exponential function is defined by

f\left(x\right)=a\left(b\right)^x

.
Select all possible values of b so that f(x) represents exponential decay.

a)

-5

b)

$\frac{1}{10}$

c)

$\frac{1}{2}$

d)

$\frac{11}{10}$

e)

1.3

37.

Does this graph represent exponential growth or decay?

a)

Growth

b)

Decay

c)

cannot be determined

38.

Which of the following is an exponential decay model?

a)

y = 3 (1/2)^x

b)

y = 1/2 (3)^x

c)

y = -2 (2)^x

d)

y = -3 (3/2)^x

Week 13: Review for Quiz on Exponential vs Logarithmic Equations

Total questions: 38

Worksheet time: 1hrs 4mins

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