Question

(a/b)^x-1=(b/a)^x-3 then x =?

Answer 1

Answer:

Step-by-step explanation:

answer in the attachment

Answer 2

Answer:

Value of x = 2

Step-by-step explanation:

$\left(\frac{a}{b}\right)^{x-1}=\left(\frac{b}{a}\right)^{x-3}$

$\implies \left(\frac{a}{b}\right)^{x-1}=\left(\frac{a}{b}\right)^{-(x-3)}$

$By \: exponential \:law:\\</p><p>\boxed { \left(\frac{a}{b}\right)^{n} = \left(\frac{b}{a}\right)^{-n}}$

$\implies \left(\frac{a}{b}\right)^{x-1}=\left(\frac{a}{b}\right)^{-x+3}$

$\implies x-1 = -x+3$

$By\: exponential \: law :\\</p><p>\boxed { If \: a^{m} = a^{n} \implies m=n }$

$\implies x + x = 3 + 1$

$\implies 2x = 4$

$\implies x = \frac{4}{2}=2$

Therefore,

Value of x = 2

•••♪