1.

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

Answer»

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


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