Unit 10 LC#2 Exponential and Logarithmic forms

Rewrite in exponential form:

log₃(9)=2.

• 3⁹=2

• 3²=9

• x²=9

• 3^x=2

Rewrite in logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

The common logarithm has what base?

• 10
• 0
• e
• -e

Simplify:  $\log_73+\log_76$  

•  $\log_79$  

•  $\log_7\left(\frac{1}{2}\right)$  

•  $\log_718$  

•  $\log_7729$  

Expand:  $\log_b\ \frac{m}{n}$  

•  $\log_bm\ -\log_bn$  

•  $\log_bm\ +\ \log_b\ n$  

•  $m\log_bn$  

•  $n\log_bn$  

Expand:  $\log\ d^{\ k}$  

•  $\log k+\log d$  

•  $\log d\ -\ \log\ k$  

•  $\log k-\log d$  

•  $k\log d$