Unit 4 Practice - Logs & Exponentials

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

Write in exponential form.
log₂32 = 5

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

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Expand

• A
• B
• C
• D

Write as a single logarithm:

log(30)-log(6)

• -6log(30)

• log(24)

• log(-24)

• log(5)

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

• log₄15

• log₄15x

• log₄56x

• xlog₄30

Write the logarithm expression as a single logarithm

2log 4 + log 2

• log 8

• log 16

• log 32

• log 8²