Topic 14 Test Review Pt. 2

Rewrite using the Change of Base Rule.

 $\log_648$  

•  $\frac{\log6}{\log48}$  

•  $\frac{\log48}{\log6}$  

•  $\log8$  

•  $\log\left(\frac{48}{6}\right)$  

Solve the following equation:

 $\log\left(5x\right)=\log\left(2x+9\right)$  

•  $x=\frac{9}{7}$  

•  $x=6$  

•  $x=4$  

•  $x=3$  

Condense the following logarithm:

 $2\ln\left(x\right)-\ln\left(y\right)$  

•  $\ln\left(\frac{x^2}{y}\right)$  

•  $\ln\left(x^2y\right)$  

•  $\ln\left(x^2-y\right)$  

•  $\ln\left(x^2+y\right)$  

Expand the following logarithmic expression:

 $\log_65xy$  

•  $\log_65x+\log_6y$  

•  $\log_65x-y$  

•  $\log_65+\log_6x+\log_6y$  

•  $\log_65-\log_6x-\log_6y$  

Solve the following equation:

 $3^b=17$  

•  $b=1.578$  

•  $b=2.579$  

•  $b=4.783$  

•  $b=3.987$  

Tags

CCSS.HSF.LE.A.4

Rewrite using the Change of Base Rule:

 $\log_22450$  

•  $\frac{\log2450}{\log2}$  

•  $\log\left(\frac{2450}{2}\right)$  

•  $\log1225$  

•  $\log2448$  

Solve the following equation:

 $\log_3\left(5x+2\right)=3$  

•  $x=\frac{29}{5}$  

•  $x=\frac{7}{5}$  

•  $x=\frac{27}{5}$  

•  $x=5$  

Condense the following logarithm.

 $\log_2x+3\log_2y$  

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

•  $\log_2x-y^3$  

•  $\log_2xy^3$  

•  $\log_23xy$  

Expand the following logarithm.

 $\log_5a^3b^4$  

•  $3\log_5a+4\log_5b$  

•  $\log_5a^3+\log_5b^4$  

•  $3\log_5a-4\log_5b$  

•  $\log_5a^3-\log_5b^4$  

Solve the following equation.
 $e^x-5=5$  

•  $x=1.609$  

•  $x=5.778$  

•  $x=2.303$  

•  $x=3.098$