7.3-7.4 Review Before Quiz

A log with a base " $e$  " ( $\log_e$ ) is the same thing as...

• Common Logarithm ( $\log$ )

• Natural Logarithm ( $\ln$ )

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

Evaluate log₄1

• 1
• 0
• 4
• undefined

log_xx

• 0

• -1

• 1

• 2

log_xx^y

• x

• 0

• 1

• y

Expand the logarithm expression

log 5x/4y

• log 5x + log 4y

• log 5x - 4log y

• log 5 + log x - log 4 - logy

• log(x) + log(z) + 4log(y)

• 3log(x) − log(z) − 4log(y)

• 3log(x) + log(z) + 4log(y)

Condense into a single logarithm.

• A
• B
• C
• D

Simplify:  $\log_4\left(x+4\right)-\log_4\left(x-5\right)$  

•  $\log_49$  

•  $\log_4\left(2x-1\right)$  

•  $\log_4\left(x^2-x-20\right)$  

•  $\log_4\left(\frac{x+4}{x-5}\right)$