# How do you solve the exponential equation #9^(2x+1)=3^(5x-1)#?

##### 1 Answer

Mar 5, 2017

#### Explanation:

Express the left side with a base of 3

#rArr(3^2)^(2x+1)=3^(5x-1)#

#rArr3^(4x+2)=3^(5x-1)# Since the bases are equal, we can equate the exponents.

#rArr5x-1=4x+2#

#rArrx=2+1=3#