More practice for Quiz 3.2-3.5

Multiple Choice

The common logarithm has what base?

• 10
• 0
• e
• -e

Multiple Choice

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

• True, and it's 2

• False

Multiple Choice

What is the base of log₃(x) = 9?

• x
• 3
• 9
• 3^x

Multiple Choice

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Multiple Choice

Evaluate.

log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Multiple Choice

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Multiple Choice

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Multiple Choice

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Multiple Choice

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Multiple Choice

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561
• 8³ = 6561
• 3⁶⁵⁶¹ = 8
• 8⁶⁵⁶¹ = 3

Multiple Choice

3² = 9

• log ₃ 2 = 9

• log ₉ 3 = 2

• log ₃ 9 = 2

• log ₂ 9 = 3

Multiple Choice

5³ = 125

• log ₅ 125 = 3

• log ₃ 5 = 125

• log ₁₂₅ 3 = 5

• log ₅ 3 = 125

Multiple Choice

16 = 4²

• log ₄ 2 = 16

• log ₁₆ 4 = 2

• log ₂ 16 = 4

• log ₄ 16 = 2

Multiple Choice

2⁵ = 32

• log ₅ 32 = 2

• log ₂ 32 = 5

• log ₃₂ 5 = 2

• log ₂ 5 = 32

Multiple Choice

7^x = 13

• log ₇ x = 13

• log ₁₃ x = 7

• log ₇ 13 = x

• log _x 7 = 13

Multiple Choice

e³ = 20.1

• ln 20.1 = e

• ln 3 = 20.1

• ln e = 20.1

• ln 20.1 = 3

Multiple Choice

b^k = m

• log _b m = k

• log _m k = b

• log _b k = m

• log _k m = b

Multiple Choice

33 = x^y

• log ₃₃ y = x

• log _x 33 = y

• log _y 33 = x

• log _x y = 33

Multiple Choice

w = n⁹⁸

• log ₉₈ w = n

• log _n 98 = w

• log _n w = 98

• log _w n = 98

Multiple Choice

10³ = 1000

• log ₁₀₀₀ 3 = 10

• log ₃ 10 = 1000

• log 3 = 1000

• log 1000 = 3

Multiple Choice

t = 4¹³

• log _t 13 = 4

• log ₄ t = 13

• log ₁₃ 4 = t

• log ₄ 13 = t

Multiple Choice

10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10

Multiple Choice

4^-2 = 1/16

• log ₄ (1/16) = -2

• log _-2 (1/16) = 4

• log ₄ (-2) = 1/16

• log _1/16 (4) = -2

Multiple Choice

13.5 = e^t

• ln 13.5t = e

• ln e = 13.5t

• ln t = 13.5

• ln 13.5 = t

Multiple Choice

0.01 = 10^-2

• log _-2 0.01 = 10

• log -2 = 0.01

• log 0.01 = -2

• log _0.01 (-2) = 0.01

Multiple Choice

Write the following in Exponential Form

6

• 6¹

• 1⁶

• 6

Multiple Choice

How would you represent 8⁶ ?

• 8 x 6
• 8 x 8 x 6
• 8 x 8 x 8 x 8 x 8 x 8
• 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

Multiple Choice

Solve for x:
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Multiple Choice

8^3x+3 = 8⁶

• x=28
• x=3
• x=1
• x=12

Multiple Choice

Write 32 as a power of 2.

• $$2^{16}$$  

• $$2^5$$  

• $$5^2$$  

• $$16^2$$  

Multiple Choice

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Multiple Choice

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

Multiple Choice

Solve the equation for x.

• x = 2
• x = 3
• x = 8
• x = 64

Fill in the Blank

Solve $$3^{3x}=\frac{1}{27}$$  

Multiple Choice

Solve: $$4^p\cdot4^{2p-2}=4^{2p-3}$$  

• -5

• -1
  

• 1

• 5

Multiple Choice

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by