Logarithms & Exponents

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Solve for w.

6³ ⋅ 6^w = 36

• -3/2

• 2/3

• -1

• 5

 $\frac{4^x}{2^2}=8$  
Solve for x.

•  $\frac{5}{2}$  

•  $\frac{2}{5}$  

• 3

• 8

• 4

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Solve the equation:

  $32^{\left(-3x+1\right)}=\left(\frac{1}{4}\right)^{5x}$  

• 1

•  $\frac{1}{8}$  

• 5

•  $\frac{1}{5}$  

Solve:

log₂ x + log₂ (x + 5) = log₂ (3x + 8)

• x = 2

• x = -4

• x = 2 and x = -4

• no solution

 $\log_4x+\log_4\left(x-3\right)=1$  Solve the equation. Check your answer.

•  $x=-4\ and\ x=1$  

•  $x=4$  

•  $x=1$  

•  $x=4\ and\ x=-1$  

•  $x=-1$