Solve: 5 raise to power x+1 - 5 raise to power x =500, find the value of x - Maths - Exponents and Powers

Question

Solve: 5 raise to power x+1 - 5 raise to power x =500, find the
value of x?

Varun.Rawat · Accepted Answer

5x+1 - 5x = 500⇒5x5 - 1 = 500⇒5x 
 4 = 500⇒5x  = 5004⇒5x = 125⇒5x = 53⇒x = 3

Solve: 5 raise to power x+1 - 5 raise to power x =500, find the value of x?