Question

Find the value of x. If (a/b)^x-1=(b/a)^2x-8​

Answer 1

Answer:

          x = 3

Step-by-step explanation:

Assuming the question actually asks for x given

               $\displaystyle(a/b)^{x-1} = (b/a)^{2x-8}$

Proceeding from there...

$\displaystyle(a/b)^{x-1} = (b/a)^{2x-8}\\\\\Rightarrow(a/b)^{x-1} = (a/b)^{-2x+8}\quad\quad\text{(since (b/a)=(a/b)^{-1} )}\\\\\Rightarrow x-1 = -2x+8\\\\\Rightarrow 3x = 9\\\\\Rightarrow x = 3$

Answer 2

Answer:

3

Step-by-step explanation:

see the solution attachment.

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