solving exponential equation

What is the base in the expressions.

• 3

• 7

• -3

• -7

Tags

CCSS.6.EE.A.1

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

•  $x=-2$  

•  $x=2$  

•  $x=-3$  

•  $x=3$  

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

•  $x=-1$  

•  $x=-4$  

•  $x=-3$  

•  $x=1$  

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

•  $x=-2$  

•  $x=2$  

•  $x=-3$  

•  $x=3$  

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

•  $x=-1$  

•  $x=-4$  

•  $x=-3$  

•  $x=1$  

Solve the following exponential equation:

 $3^3=3^{4x+2}$  

•  $x=\frac{1}{4}$  

•  $x=-\frac{1}{4}$  

•  $x=\frac{1}{2}$  

•  $x=-\frac{1}{2}$  

How would you solve an exponential equation like the one below:

 $36=6^x$  

• Rewrite  $36$  as  $6^2$  

• Set the exponents equal to each other

• Rewrite  $36$  as  $6^3$  

• Multiply the exponents

Solve the following exponential equation:
 $8=2^{5x+7}$  

•  $x=\frac{4}{5}$  

•  $x=\frac{1}{4}$  

•  $x=-\frac{4}{5}$  

•  $x=-\frac{1}{4}$  

Solve the following exponential equation:

 $2^{x+6}=32$  

•  $x=-1$  

•  $x=-2$  

•  $x=1$  

•  $x=2$  

How would you solve an exponential equation like the one below:
 $4^{2x-3}=4^{6x+5}$  

• Rewrite  $4$  as  $2^2$  

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents