Question

If (125)^x-1 = (5)^3x-2 - 500, then find the value of x.

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.

Answer 2

Answer:

x=2

step by step explanation: