Question

if (a/b)^x-2 = (b/a)^x-4 find the value of x please!!!☺️

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...

${ (\frac{a}{b} )}^{x - 2} = { (\frac{b}{a} )}^{x - 4} \\ {( \frac{a}{b} )}^{x - 2} = {( \frac{a}{b} )}^{ - (x - 4)}$
Comparing both sides of the equation...
$x - 2 = - x + 4 \\ 2x = 6 \\ x = 3$
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Answer 2

Given Equation is:

$= \ \textgreater \ ( \frac{a}{b}) ^{x - 2} = ( \frac{b}{a} )^{x - 4}$

$= \ \textgreater \ ( \frac{a}{b}) ^{x - 2} = ( \frac{a}{b}) ^{-(x - 4)}$

$= \ \textgreater \ ( \frac{a}{b}) ^{x - 2} = ( \frac{a}{b}) ^{-x + 4}$

= > x - 2 = 4 - x

= > x - 2 + x = 4

= > 2x - 2 = 4

= > 2x = 6

= > x = 3.


Therefore the value of x = 3.


Hope this helps!