Question

(2 power2x) whole power 2 = 32
$({2}^{2x})^{2} = 32$
find X

Answer 1

$<b > Ello!!$

Here's your answer

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Given , ( 2^2x )² = 32

To find the value of x

Now ,

( 2^2x )² = 32

=> ( 2 )^2x × 2 = ( 2 )^5

[ °•° Base are same , so taking the powers ]

=> 4x = 5

=> x = 5 / 4 [ ★ Required answer ]

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Hope it helps!!

Answer 2

Here you are given the equation which is

$=> { [({2})^{2x}]}^{2} = \: 32 \\ \\ = > ({2})^{2x \times 2} = 32 \\ \\ = > \: ({2})^{4x} = ({2})^{5} ......as \: 32 = ({2})^{5} \\ \\ cancelling \: 2 \:from \: both \: sides \:\\\\= > \boxed {X=\frac {5}{4}}$

hope u understood ^_^

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