Quiz about Exponential & Logarithmic Functions Review

Question 1

(5³x²y⁴)⁰

Accepted Answer

1

Answer

5xy

Answer

0

Answer

5

Question 2

(y9)-2

Accepted Answer

1/y18

Answer

y18

Answer

y11

Answer

y9/2

Question 3

What type of function is
y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 4

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 5

Rewrite log_b(xⁿ)

Accepted Answer

nlogbx

Answer

(log_bx)ⁿ

Answer

xnlogbx

Answer

log_b(xⁿ)

Question 6

Evaluate log_b(b)

Accepted Answer

1

Answer

-1

Answer

0

Answer

b

Question 7

Evaluate b^log_b(x)

Accepted Answer

x

Answer

b

Answer

1

Answer

0

Question 8

Expand log₆(5x³/y).

Accepted Answer

log₆5+3log₆x-log₆y

Answer

log₆5x³-log₆y

Answer

log₆5+log₆x³-log₆y

Question 9

Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7

Accepted Answer

log 98

Answer

log 78

Answer

log 56

Answer

log 45

Question 10

Write as a single log: log 12 + 2 log x

Accepted Answer

log (12x²)

Answer

log (12 + 2x)

Answer

log (14x)

Answer

log (12 * 2x)

Question 11

log78=

Accepted Answer

1.069

Answer

.936

Answer

.903

Answer

1.892

Question 12

7x=17

Accepted Answer

x=1.456

Answer

x=.687

Answer

x=1.546

Answer

x=.786

Question 13

log₂(x + 5) = 3

Accepted Answer

3

Answer

4

Answer

5

Answer

6

Question 14

Evaluate.
log₆(¹/₂₁₆)

Accepted Answer

-3

Answer

3

Answer

1/3

Answer

-1/3

Question 15

Rewrite log_vn = a in exponential form.

Accepted Answer

va = n

Answer

na = v

Answer

vn = a

Answer

an = v

Question 16

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 17

Solve for x:
log_x25 = 2

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 18

ln e5=

Accepted Answer

5

Answer

e5

Answer

ln 5

Answer

5e

Question 19

What kind of asymptotes do logs have?

Accepted Answer

vertical (x=0)

Answer

horizontal ( y=0)

Question 20

Which has a horizontal asymptote?

Accepted Answer

exponential

Answer

logarithm

Answer

both

Question 21

What property is this: log M + log N = log M(N)

Accepted Answer

product property of logs

Answer

private property of logs

Answer

power property of logarithms

Answer

quotient property of logs

Question 22

What property is this: log M^x = x(log M)

Accepted Answer

power property of logs

Answer

product property of logs

Answer

quotient property of logs

Answer

private property of logs

Question 23

Use change of base to solve:
log ₁₇ 132

Accepted Answer

log 132 / log 17

Answer

log 17 / log 132

Answer

132 / 17

Question 24

What relationship is demonstrated by this table of values?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 25

Evaluate
f(x) = 3^x ; f(-4) = ____

Accepted Answer

1/81

Answer

-81

Answer

81

Answer

-1/81

Question 26

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

Accepted Answer

13%

Answer

87%

Answer

800%

Answer

8.7%

Question 27

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

Accepted Answer

Increasing

Answer

Decreasing

Question 28

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9

Accepted Answer

log5162

Answer

log569

Answer

log556

Answer

log598

Question 29

Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7

Accepted Answer

log 98

Answer

log 78

Answer

log 56

Answer

log 45

Question 30

The expression a log_x(y⁵) is equivalent to

Accepted Answer

5 logxy

Answer

5x

Answer

5y

Answer

5 logyx

Question 31

Which function is exponential?

Accepted Answer

g(x)

Answer

f(x)

Answer

h(x)

Question 32

What transformations have happened to y = 2^x if the new equation is
y = -2^(x+3) -6

Accepted Answer

flips, left 3, down 6

Answer

It stayed the same

Answer

flips, up 3, left 6

Answer

flips, right 3, down 6

Question 33

are these inverse functions

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 34

are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 35

log₂(x + 5) = 3

Accepted Answer

3

Answer

4

Answer

5

Answer

6

Question 36

Solve for x:
4²^x+ 1 = 17

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 2

Answer

x = -2

Question 37

Evaluate the expression.
log₇7^-0.89

Accepted Answer

-0.89

Answer

7

Answer

7-0.89

Answer

1

Question 38

Solve the exponential equation algebraically. (Round to three decimal places)
14e^3x+2=560

Accepted Answer

0.563

Answer

3.689

Answer

1.442

Answer

1.896

Question 39

Evaluate the expression:
log₃ 1/243

Accepted Answer

-5

Answer

1/5

Answer

-1/5

Answer

5

Question 40

Evaluate the expression:
log₃₄₃7

Accepted Answer

1/3

Answer

3

Answer

-3

Answer

49

Question 41

Solve:
log₅ 7x = 2

Accepted Answer

x = 25/7

Answer

x = 5/7

Answer

x = 2/7

Answer

x = 17.5

Question 42

Solve for n:
2³ⁿ = 4

Accepted Answer

2/3

Answer

2

Answer

3

Answer

4

Question 43

Solve for x:
2^x+6=2⁵

Accepted Answer

-1

Answer

11

Answer

1

Answer

-11

Question 44

Solve: 9^8-x = 27^x-3

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 45

Solve for b:
36^3b = 216^b+4

Accepted Answer

4

Answer

6

Answer

1

Answer

-4

Question 46

Write log_b(x/y) as two logs

Accepted Answer

log_bx-log_by

Answer

log_bx+log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 47

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

Accepted Answer

x = 3

Answer

x = 2

Answer

x = -1

Answer

No Solution

Exponential & Logarithmic Functions Review

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