Spring Final 2025

Evaluate 18 ^x = 1 

• 18
• 0
• 1
• 2

Evaluate  2 ^x =1/16

• 1/4
• 4
• 1/8
• -4

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Write in exponential form.
log₂32 = 5

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

Convert to logarithmic form.

 $5^3=125$  

•  $\log_3125=5$  

•  $\log_{125}5=3$  

•  $\log_53=125$  

•  $\log_5125=3$  

 $\log_3\left(2x+1\right)=2$  

Convert to exponential form. Then solve for x.

• x = -2

• x = 3

• x = 9

• x = 4

• 0

• 64

• 1

• 16

log ₃ 27

• 4

• 2

• 5

• 3

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 
• log₂ 5 + log₂ x 
• 2log 5 + 2log x
• log5 2 + log_x 2