AR 10.4 Review Logarithms

Evaluate log₄1

• 1
• 0
• 4
• undefined

Use your calculator to evaluate the following logarithm

log 0.00001

• -4

• -5

• 4

• 5

Write in exponential form.

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

•  $2^{-3}=\frac{1}{8}$  

•  $2^{\frac{1}{8}}=-3$  

•  $-3^2=\frac{1}{8}$  
  

•  $-3^{\frac{1}{8}}=2$  
  

Rewrite 3⁴ = 81 in logarithmic form.

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

Solve for x:  $9^x=60$  

• 1.748

• x = 6.667

• x = 0.537

• x = 1.863

Solve for x:
4^2x + 1 = 17

• x = 1
• x = -1
• x = 2
• x = -2

Solve for x.
 $-6\log_{12}\left(x-5\right)=-6$  

• -1

• -864

• 2

• 17

Evaluate.

3 log₂4

• 3

• 6

• 2

• 4

Answer explanation

$3\log_24=3\cdot\log_2\left(2^2\right)=3\cdot2\log_22=3\cdot2\cdot1=6$

What does the b in log_bA=x represent?

• Argument
• Base
• Exponent
• Bottom

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t