Algebra 2 - 7.4-7.5 Review

7.4 - Properties of Logs

Expand or condense.
 $\log_83xy$  

•  $\log_83+\log_8x+\log_8y$  

•  $\log_83\cdot\log_8x\cdot\log_8y$  

•  $\log_83-\log_8x-\log_8y$  

•  $\log_83x+\log_8y$  

7.4 - Properties of Logs

Expand or condense.
 $\log10x^3y$  

•  $\log10+3\log x+\log y$  

•  $3\log10+3\log x+\log y$  

•  $\log10+\log x^3+\log y$  

•  $3\log10+3\log x+3\log y$  

7.4 - Properties of Logs

Expand or condense.
 $\ln\left(\frac{x^5}{3y}\right)$  

•  $5\ln x-\ln3-\ln y$  

•  $5\ln x-\ln3+\ln y$  

•  $5\ln x-5\ln3-5\ln y$  

•  $5\ln x-5\ln3+5\ln y$  

7.4 - Properties of Logs

Expand or condense.
 $3\log_74+\log_76$  

•  $\log_7384$  

•  $\log_772$  

•  $\log_7486$  

•  $\log_713.5$  

7.4 - Properties of Logs

Expand or condense.
 $4\log_23x-\log_29$  

•  $\log_2\left(9x^4\right)$  

•  $\log_2\left(\frac{x^4}{3}\right)$  

•  $\log_2\left(\frac{x^4}{9}\right)$  

•  $\log_2\left(\frac{3}{x^4}\right)$  

7.4 - Properties of Logs

Expand or condense.
 $2\ln4+5\ln2-\ln8$  

•  $\ln64$  

•  $\ln10$  

•  $\ln6$  

•  $\ln128$  

7.4 - Properties of Logs

Use the change of base formula to evaluate. Round to 3 decimal places.
 $\log_210$  

7.4 - Properties of Logs

Use the change of base formula to evaluate. Round to 3 decimal places.
 $\log_79$  

7.5 - Solving Logarithmic and Exponential Equations
Solve.
 $5^{\left(2x+4\right)}=5^{\left(5x-8\right)}$  

7.5 - Solving Logarithmic and Exponential Equations
Solve.
 $4^{\left(2x-1\right)}=8^{\left(x+2\right)}$