Question

if 2 x minus 2, 3 square x minus 6 is equals to 36 find the value of x​

Answer 1

Hey there!!!

$\huge\bold{Solution}$


$2^{x - 2}$.$3^{2x - 6}$ = 36

After taking Prime factors of 36,

we get....

$2^{x - 2}$.$3^{2x - 6}$ = $2^{2}$.$3^{2}$

By comparing both sides we get,

x - 2 = 2 and 2x - 6 = 2

After solving this we get,

x = 4
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