Question

Correct answer would be marked as brainliest

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

Answer 1

Answer:

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

{5}^{3x - 2} - 500 = >

Let 5 raised to power (3x-3) be y .

y = 5.y - 500 = > 5y - y = 500 = >

4y = 500 = > y = \frac{500}{4} = 125 = >

{5}^{3x - 3} = {5}^{3} = > 3x - 3 = 3 = >

3x = 6 = > x = 2

Value of x is 2. Hope it helps you.