Solving Exponential & Logarithmic Equations

Solve the equation:

 $\log_5\left(x\right)=2$  

Tags

CCSS.HSF.BF.B.5

Solve the equation:

 $2^{x-5}=8$  

Tags

CCSS.HSF.LE.A.4

Solve the equation:

 $\log\left(x+6\right)=1$  

Tags

CCSS.HSF.BF.B.5

Solve the equation:

 $5^{-x}=25$  

Solve the equation:

 $\log_2\left(4x\right)=5$  

Tags

CCSS.HSF.BF.B.5

Solve the equation:

 $\log_4\left(x+2\right)=\log_4\left(8\right)$  

Solve the equation:

 $e^{2x}+e^x-12=0$  
(Choose all that apply)

•  $x=\ln\left(-4\right)$  
  

•  $x=\ln\left(-3\right)$  
  

•  $x=\ln\left(3\right)$  
  

•  $x=\ln\left(4\right)$  
  

Solve the equation:

 $\frac{1}{2}\log_3\left(x\right)=2\log_3\left(2\right)$  
(Choose all that apply)

• x = -2

• x = 2

• x = 8

• x = 16

Solve the equation:

 $\log\left(x\right)+\log\left(x+15\right)=2$  
(Choose all that apply)

• x = -20

• x = 5

• x = 9.219

• x = 42.5

Solve the equation:

 $5\left(2^{3x}\right)=8$  
(Choose all that apply)

•  $x=1-\frac{1}{3}\log_2\left(5\right)$  
  

•  $x=3\log_2\left(\frac{8}{5}\right)$  
  

•  $x=\log_2\left(\frac{8}{15}\right)$  
  

•  $x=\frac{1}{3}\log\left(8\right)$  
  

Tags

CCSS.HSF.LE.A.4