Question

(a/b)^x-1=(b/a)^2x-1​

Answer 1

$(\frac{a}{b})^{x-1} = (\frac{b}{a})^{2x-1}$ The value of x is $\frac{2}{3}$.

Explanation:

Given : $(\frac{a}{b})^{x-1} = (\frac{b}{a})^{2x-1}$

Applying the power exponential formula we can reverse the power value.

$(\frac{a}{b})^{x-1} = (\frac{a}{b})^-({2x-1})$

Therefore, x - 1 = -(2x - 1)

x - 1 = -2x + 1

3x = 2

x = $\frac{2}{3}$.

To know more:

(a/b)^x-1 = (b/a)^2x-8 then find the value of x

https://brainly.in/question/1037127