#4 Solving Expo & Log Equations

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

 $\log_{\sqrt{5}}25$  

Solve the logarithmic equation.

 $\log_7343=2x+1$  

x = __________

Solve the logarithmic equation.

 $\log_6\sqrt{x-2}=2$  

x = __________

Choose the correctly expanded natural logarithm:

 $\ln\left(\frac{7a}{bc}\right)\$  

•  $\ln7+\ln a-\ln b-\ln c$  

•  $\ln7+\ln a-\ln b+\ln c$  

•  $\ln(7a)-\ln(bc)$  

•  $7\ln a-b\ln c$  

Choose the correctly condensed common logarithm

 $\log q+\log r+3\log s$  

•  $\log\left(qrs^3\right)$  

•  $\log\left(qrs\right)^3\ \ \ \$  

•  $\log\left(3qrs\right)\ \ \ \ \$  

•  $3\log\left(qrs\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Choose the correctly condensed logarithm

 $\frac{1}{2}\log_6m-\log_6n+\log_66$  

•  $\log_6\left(\frac{6\sqrt{m}}{n}\right)\$  

•  $\log_6\left(\frac{\sqrt{m}}{n}+1\right)\ \$  

•  $\log_6\left(\frac{\sqrt{m}}{n}\right)\ \ +1$  

•  $\log_6\left(\frac{\sqrt{m}}{n}\right)\ \ +6$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

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

 $e^{\ln4}=$  

Solve for x in the logarithmic equation.

 $\log_3(4x-3)=2$  

Solve for x in the logarithmic equation.

 $\log_2(x+6)+\log_2\left(x-1\right)=3$  

Solve for x in the logarithmic equation.

 $\log_5(3x-1)=\log_5(2x+5)$