Feb 16 Pre-Calc Warm-Up

Re-write this equation in logarithmic form:

 $2^3=8$  

•  $\log_83=2$  

•  $\log_23=8$  

•  $\log_28=3$  

Re-write this equation in logarithmic form:

 $4^5=1024$  

•  $\log_41024=5$  

•  $\log_51024=4$  

•  $\log_54=1024$  
  

Re-write this equation in exponential form:
 $\log_416=2$  

•  $2^4=16$  
  

•  $4^2=16$  
  

•  $4^{16}=2$  
  

Re-write this equation in exponential form:
 $\log1000=3$  

•  $3^{10}=1000$  
  

•  $e^3=1000$  
  

•  $10^3=1000$  
  

Re-write this expression as a single logarithm:

 $\log_24+\log_216$  

•  $\log_220$  
  

•  $\log_264$  
  

•  $\log\left(256\right)$  
  

Re-write this expression as a single logarithm:

 $\ln3-\ln6$  

•  $\ln\left(-3\right)$  
  

•  $\ln\left(-18\right)$  
  

•  $\ln\left(\frac{1}{2}\right)$