125x = 625

Question

Solve the exponential equations by expressing each side as a power of the same base and then equating exponents

Answer 1

I will assume x is the exponent.

 

125^x = 625

 

 

125 and 625 have a common base of 5.

 

(5³)^x = 5⁴

 

 

Equate exponents.

 

3x = 4

 

  x = 4/3