Logarithm Review

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Rewrite 3⁴ = 81 in logarithmic form.

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

Write the exponential equation as a logarithm
 $6^3=216$  

•  $\log_6\left(3\right)=\ 216$  

•  $\log_6\left(216\right)=3$  

•  $\log_3\left(6\right)=216$  

•  $\log_{216}\left(6\right)=3$  

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

 $3^4=81$  

Write the exponential equation as a logarithm

•  $\log_34=81$  

•  $\log_{81}3=4$  

•  $\log_481=3$  

•  $\log_381=4$  

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate
 $\log_5\ 125$  

• 2

• 5

• 3

• No Solution

Solve the equation.

 

• -2

• 1/2

• -1/2

• 2

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D