Algebra 2 Exponential and Log

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Condense

• A

• B

• C

• D

The common logarithm has what base?

• 10

• 0

• e

• -e

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2

• log ₂ 81 = 9

• log ₉ 2 = 81

• log ₂ 9 = 81

Write in logarithmic form:
8³ = 512

• log ₈ 512 = 3

• log ₃ 512 = 8

• log ₃ 5 = 512

• log ₈ 5 = 512

Write in exponential form:
log ₉ 59049 = 5

• 9⁵ = 59049

• 5⁹ = 59049

• 59049⁵ = 9

• 59049⁹ = 5

*Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions

• Quadratic Functions

• Polynomial Functions

**Solve for x: log₆x + log₆9 = 54

• -6

• 6

• 45

• 63

*Condense: log₂ 64 - log₂ 4

• log₂ 16

• log₂ 4

• log₂ 8

• log₂ 60