$2^n-2^{n-2}=96$ Then what is n?

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$2^n-2^{n-2}=96$

$$ആയാൽ n എത്ര?

Bഇവ ഒന്നും അല്ല

Answer:

$2^{n} - 2^{n - 2} = 96$

$2^{n - 2} (2^{2} - 1) = 96$

$2^{n - 2} (4 - 1) = 96$

$2^{n - 2} = 96/3 = 32$

$2^{n - 2} = 2^{5}$

$n - 2 = 5$

$n = 7$

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