Logarithms

Rewrite 3⁴ = 81 in logarithmic form.

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

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:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

State the property (s) used to simplify the expression

log₄20 - 3log₄x = log₄(20/x³)

• Power Property

• Quotient Property

• Quotient and Power Property

• Product and Power Property

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

Expand the logarithm expression

log 6x³y

• log 6x³ + log y

• log 6 + log x³ + log y

• 3 log 6 + log x + log y

• log 6 + 3log x + log y

What is the inverse of

 $n\left(x\right)=\ln\left(x\right)$  

•  $n^{-1}\left(x\right)=\log e$  

•  $n^{-1}\left(x\right)=x^e$  

•  $n^{-1}\left(x\right)=e^x$  

•  $n^{-1}\left(x\right)=x^{\ln}$