Log Rules Worksheet

 $\log\ 7\ +\ \log\ 3\ =$  

•  $\log\ 10$  

•  $1$  

•  $\log\ 21$  

•  $\log\ 37$  

 $\log\ 25\ +\ \log\ 4\ =$  

•  $\log25-\log4$  

•  $2$  

•  $\log1000$  

•  $\log\ 29$  

 $\log\ 7+\log\ 3y+\log\ x\ =$  

•  $\log21xy$  

•  $\log21+xy$  

•  $\log10xy$  

•  $2\log\ 21xy$  

 $\log32-\log4=$  

•  $\log28$  

•  $\log8$  

•  $\log128$  

•  $\log\ 36$  

 $+\ \log\ 3+\log y-\log x=$  

•  $\log\ \frac{3}{xy}$  

•   $\log\ \frac{3x}{y}$ 

•  $\log\ \frac{3y}{x}$  

•  $\log3xy$  

 $\log\ 50-\log5$  =

(a)  

 $\log5x^2=$  

•  $\log\ 5\ +2\log x$  

•  $2\log5+\log x$  

•  $\log\ \frac{5}{x^2}$  

•  $\log\ 25x^2$  

 $\log\ 10^2=$  (Simplest Answer for full credit.)

•  $10\ \log2$  

•  $2\log10$  

•  $\log2$  

•  $2$  

 $\log_75+\log_511=$  

•  $\log_755$  

•  $\log_{12}55$  

•  $\log_255$  

• It cannot be simplified,  because the bases are not the same.

 $4^x=81$  In solving this equation, the first step is to take the logarithm of both sides.  What is the second step?

•  $x\cdot\log4=\log81$  

• divide both sides by 81

• divide both sides by 4

•  $x=3$  

Tags

CCSS.HSF.LE.A.4