Practice: Logarithms Intro

Write in exponential form.
log₂32 = 5

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

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

Solve for x
5^x = 17

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

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Evaluate the following logarithm:

log₃3

• 1

• 0

• -1

• ¹/₂

Evaluate the following logarithm:

log₈√8

• -¹/₂

• -1

• 1

• ¹/₂

Evaluate the following logarithm:

log₆6

• 3

• 2

• 1

• 0

Evaluate the following logarithm:

log₆36

• 3

• 2

• 1

• 0

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Rewrite the equation in logarithmic form.

• A
• B
• C
• D