Solving Exponential and Logarithmic Equations

 $5^x=625\$  Solve the equation

Tags

CCSS.HSF.LE.A.4

 $6^x=16.\$  Select all that apply

•  $\log_{16}6$  

•  $\frac{\log\left(16\right)}{\log\left(6\right)}$  

•  $\frac{\log6}{\log16}$  

•  $1.5474$  

Tags

CCSS.HSF.BF.B.5

Solve the equation  $4^{2x}=9$  

•  $\frac{\log9}{\log4}$  

•  $\frac{\log8}{\log9}$  

•  $\frac{\log9}{\log16}$  

•  $\frac{\log16}{\log9}$  

Tags

CCSS.HSF.BF.B.5

 $\log_2x-\log_25=3.$  Find x

 $\log_4\left(8x\right)+7=10$  Solve

• 3

•  $\frac{\log7}{\log4}$  

• 8

• 2

 $2\times5^{2x}-2=12$  Select all that apply

•  $\frac{\log5}{\log2}$  

•  $\frac{\log7}{2\log5}$  

•  $\frac{\log14}{\log10}$  

•  $\frac{\log7}{\log25}$  

•  $\approx0.6045$  

 $\log_3\left(x+5\right)-\log_3\left(x-3\right)=2$  Select all correct steps 

•  $\log_3\left(x+5-x+3\right)=2$  

•  $\frac{\log_3\left(x+5\right)}{\log_3\left(x-3\right)}=2$  

•  $x=4$  

•  $\frac{x+5}{x-3}=9$  

•  $\log_3\left(\frac{x+5}{x-3}\right)=2$  

 $\log_4x+\log_4\left(x-3\right)=1$  Solve the equation. Check your answer.

•  $x=-4\ and\ x=1$  

•  $x=4$  

•  $x=1$  

•  $x=4\ and\ x=-1$  

•  $x=-1$  

 $27^{\left(3x-5\right)}=243^{\left(x+8\right)}$  Solve the equation

 $81^{3x}=\frac{1}{27}$  Solve the equation.