6.4 Solving Exponential Equations

Solve the following exponential equation:

  $2^{4x}=2^{x+9\ }$  

• x = 3

• x = -1

• x= 8

• x = -2

Solve the following exponential equation:

 $7^{-x}=49$  

•  $x=1$  

•  $x=-1$  

•  $x=2$  

•  $x=-2$  

Solve the following exponential equation:
 $2^x=4^{x+1}$  

•  $x=-2$  

•  $x=2$  

•  $x=-3$  

•  $x=3$  

Solve the following exponential equation:
 $4^{p+2}=64$  

•  $p=-1$  

•  $p=1$  

•  $p=\frac{1}{2}$  

•  $p=\frac{7}{6}$  

Solve the following exponential equation:
 $5^{-3x}=125$  

•  $x=-1$  

•  $x=-4$  

•  $x=-3$  

•  $x=1$  

Tags

CCSS.HSF.BF.B.5

Solve the following exponential equation:
 $9^{8-x}=27^{x-3}$  

•  $x=5$  

•  $x=-5$  

•  $x=\frac{1}{5}$  

•  $x=-\frac{1}{5}$  

Solve the following exponential equation:

  $4^{2x}=8^{x-2}$  

• x = 1

• x = -6

• x = -3

• x = -2

Solve the following exponential equation:

216^x = 6^x+10

• x=-1

• x=3

• x=5

• x=-2

Solve the following exponential equation:
 $\left(\frac{1}{2}\right)^{2x}=4^3$  

•  $x=3$  

•  $x=-\frac{5}{2}$  

•  $x=-3$  

•  $x=\frac{5}{2}$  

Solve the following exponential equation:

 $\left(\frac{1}{3}\right)^{x-1}=27$  

•  $x=2$  

•  $x=-4$  

•  $x=-2$  

•  $x=\frac{1}{3}$