Question

if (125)^x-1 = (5)^3x-2 - 500, find x.

Answer 1

Answer:

x=2

Step-by-step explanation:

(125)^x-1= (5)^3x-2 - 500

(5³)^x-1= (5)^3x-2 -5³×4

(5)^3x-3- (5)^3x-2 = -5³×4

5^3x-3 ( 5-1)= 5³×4

(5^3x-3) ×4 = 5³×4

comparing the powers

3x-3= 3

3x= 3+3=6

x= 2