Solve the logarithmic equation.

 $\ln e^x=5$  

x = __________

Solve the logarithmic equation.

 $\log_3243=2x+1$  

x = __________

Tags

CCSS.HSF.BF.B.5

Find the exact value of the logarithm without using a calculator.

 $\ln1$  

Solve the logarithmic equation.

 $\log_5x=3$  

x = __________

Tags

CCSS.HSF.BF.B.5

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

 $\log_82+\log_84=$  

Tags

CCSS.HSF.BF.B.5

Choose the correctly condensed logarithm

 $2\log_3u-\log_3z$  

•  $2\log_3\left(\frac{u}{z}\right)$  

•  $\log_3\left(\frac{u^2}{z}\right)$  

•  $\log_3\left(u^2-z\right)\ \$  

•  $2\log_3\left(u-z\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Choose the correct expanded common logarithm:

 $\log(xy^2)$  

•  $\log x+2\log y$  

•  $\log x+\log y^2$  

•  $\log x-2\log y$  

•  $\log x+\log y+\log2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Solve for x in the logarithmic equation.

 $\log_6\left(x+4\right)+\log_6\left(x+3\right)=1$  

Solve for x in the logarithmic equation.

 $\log_5(4x-7)=\log_5(x+5)$  

Solve for x in the logarithmic equation.

 $\log(x)+\log(x+3)=1$