7.1-7.3 Review - Algebra 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

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)

log₅25 = ?

• 2

• 5

• 125

The base of common log is 10. So log 100 = ?

• 1

• 2

• 10

• 50

Evaluate the following logarithm:

log₈√8

• -¹/₂

• -1

• 1

• ¹/₂

Evaluate the following logarithm:

log₁₂1

• 1

• 0

• -1

• ¹/₂

Evaluate.
log₃81

• 4

• ¹/₄

• -4

• -¹/₄

Evaluate the following logarithm:

log₄2

• -¹/₂

• -2

• 2

• ¹/₂