Logarithm Review

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Rewrite in exponential form.

• A
• B
• C
• D

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Write in exponential form.

 $\log_2\left(\frac{1}{8}\right)=-3$  

•  $2^{-3}=\frac{1}{8}$  

•  $2^{\frac{1}{8}}=-3$  

•  $-3^2=\frac{1}{8}$  
  

•  $-3^{\frac{1}{8}}=2$  
  

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

Solve for x

log₅(4x - 7) = log₅(x + 5)

• 3

• 12

• 4

• 7

Solve for x:
4^2x + 1 = 17

• x = 1
• x = -1
• x = 2
• x = -2

Expand

• log₈ x + log₈ y + log₈ z
• 5log₈ x + 5log₈ y + 5log₈ z
• log₈ xy + 5log₈ z
• log₈ x + log₈ y + 5log₈ z

Solve the equation for x.

• 32
• 25
• 1.66
• 512