Log Test

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Write in exponential form.

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

•  $2^{-3}=\frac{1}{8}$  

•  $2^{\frac{1}{8}}=-3$  

•  $-3^2=\frac{1}{8}$  
  

•  $-3^{\frac{1}{8}}=2$  
  

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

Evaluate the logarithm. Type in the number only for the answer.

 $\log_636$  

Evaluate the logarithm. Type in the number only for the answer.

 $\log_232$  

Solve

3 log₂4

• 3

• 6

• 2

• 4

Answer explanation

 $3\log_24$ 

Solve: log₈(4x+4)=2

• 15

• 12

• 10

• 3

Solve:
log x + log 8 = 2 

• 10
• 12.5
• 15
• 17.5

Solve:

log₃9 + log₃27

• -1

• 5

• 4

• 1

Answer explanation

$\log_3\left(9\cdot27\right)=\log_3\left(3^5\right)=5\cdot\log_33=5\cdot1=5$