Logarithms Quiz (8.03 & 8.04)

Rewrite the following equation in exponential form:
 $\log_381=4$  

•  $4^3=81$  

•  $3^4=81$  

•  $81^3=4$  

•  $4^{81}=3$  

Rewrite the equation in exponential form:
 $\log_vu=4$  

•  $v^4=u$  

•  $4^v=u$  

•  $v^u=4$  

•  $u^4=v$  

Rewrite the equation in logarithmic form:
 $64^{\frac{1}{2}}=8$  

•  $\log_{64}8=\frac{1}{2}$  

•  $\log_864=\frac{1}{2}$  

•  $\log_{64}\ \frac{1}{2}=8$  

•  $\log_8\ \frac{1}{2}=64$  

Rewrite the equation in logarithmic form:
 $9^{-2}=\frac{1}{81}$  

•  $\log_29=\frac{1}{81}$  

•  $\log_9\ \left(-2\right)=\frac{1}{81}$  

•  $\log_2\ \left(\frac{1}{81}\right)=9$  

•  $\log_9\ \frac{1}{81}=-2$  

Evaluate the following expression:  $\log_464$  

• 3

• 8

• 2

• 16

Evaluate the following expression: $\log_{343}7$  

• 3

•  $\frac{1}{7}$  

• 7

•  $\frac{1}{3}$  

Evaluate: $\log1000$  

• 10

• 3

• 2

• 1

Simplify the following expression using the properties of logarithms:  $\log_4\left(x^3y^5\right)$  

•  $5\log_4x\ +3\log_4y$  

•  $3\log_4x\ -\ 5\log_4y$  

•  $3\log_4x+5\log_4y$  

•  $5\log_4x-3\log_4y$  

Simplify the following expression using the properties of logs: $\log\left(\frac{x^9y^5}{z^3}\right)$  

•  $9\log x\ -\ 5\log y+3\log z$  

•  $5\log y-9\log x+3\log z$  

•  $9\log x+5\log y-3\log z$  

•  $9\log x+5\log y+3\log z$  

• 10

• 2.5