Quiz about Log Basics

Question 1

Without a calculator, evaluate log₄1

Accepted Answer

0

Answer

1/4

Answer

-1

Answer

4

Question 2

Without a calculator, determine which of the following yields a negative answer.

Accepted Answer

log₉(¹/₃₀)

Answer

log9 3

Answer

log9 81

Answer

log9 1

Question 3

Rewrite log_x95 = 2.3 in exponential form.

Accepted Answer

x2.3 = 95

Answer

952.3 = x

Answer

2.3⁹⁵ = x

Answer

x⁹⁵= 2.3

Question 4

Rewrite in exponential form:

log₉x=2

Accepted Answer

92=x

Answer

9x=2

Answer

2x=9

Answer

29=x

Question 5

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 6

Write in logarithmic form

2^-4 = ¹/₁₆

Accepted Answer

log₂(¹/₁₆) = -4

Answer

log_-4(¹/₁₆) = 2

Answer

log_-4 2 = ¹/₁₆

Answer

log₂(-4) = ¹/₁₆

Question 7

Rewrite log_pt = m in exponential form.

Accepted Answer

pm = t

Answer

pt = m

Answer

tm = p

Answer

mt = p

Question 8

Write log₆ 216 = 3 in exponential form.

Accepted Answer

63=216

Answer

36=216

Answer

2166=3

Answer

3216=6

Question 9

Evaluate log_b(b)

Accepted Answer

1

Answer

-1

Answer

0

Answer

b

Question 10

log₅25 = ?

Accepted Answer

2

Answer

5

Answer

125

Answer

10

Question 11

Rewrite as a log: y = 7^x

Accepted Answer

log₇(y) = x

Answer

log₇(x) = y

Answer

log_y(7) = x

Answer

log_x(y) = 7

Question 12

Rewrite as a log: x = 11^y

Accepted Answer

log₁₁(x) = y

Answer

log₁₁(y) = x

Answer

log_y(11) = x

Answer

log_x(y) = 11

Question 13

Using the change of base formula, what is this logarithm equivalent to?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 14

Using the change of base formula, what is this logarithm equivalent to?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 15

Use the change of base formula to evaluate:

log₄32

Accepted Answer

5/2

Answer

8

Answer

2/5

Answer

3/2

Question 16

Use the change of base formula to rewrite this problem:

log₃64

Accepted Answer

log(64)/log(3)

Answer

log(3)/log(64)

Question 17

Use the change of base formula to rewrite this problem:

log₅75

Accepted Answer

log(75)/log(5)

Answer

log(5)/log(75)

Question 18

Solve for x:
log_x25 = 2

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Log Basics

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