M4 Evaluating and Condensing/Expanding Logs

Use the properties of logarithms to find the exact value of each expression.

 $2^{\log_27}=$  

(a)  

Use the properties of logarithms to find the exact value of each expression.

 $\log_82+\log_84=$  

(a)  

Use the properties of logarithms to find the exact value of each expression.

 $\log_a1=$  

(a)  

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Expand

• 5log₅a - 6log₅b
• 5log₅a - 30log₅b
• 5log₅a + 30log₅b
• 30log₅b - 5log₅a 

Expand

• A
• B
• C
• D

Use Properties of Logarithms to fully expand.

• $\frac{1}{5}\log32x$

• $\frac{1}{5}\log32+\frac{1}{5}\log x$

• $2+\frac{1}{5}\log x$

• $\log2+\frac{1}{5}\log x$

Simplify:  $\frac{1}{2}\log_964+\log_9x$ 

•  $\log_9\left(32x\right)$ 

•  $\log_9\left(\frac{32}{x}\right)$ 

•  $\log_9\left(\frac{8}{x}\right)$ 

•  $\log_98x$