Question

13..... If √2x-3 = 16, then the value of x is
B. 4
C. 8
D. 11
$\sqrt{2x - 3} = 16$
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Answer 1

Option D is the correct answer.

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Answer 2

$\large{\underline{\underline{\mathfrak{\green{\sf{Solution:-}}}}}}$.

$\bold{\:given\:Here:-}$.

✴$\red{\sqrt{2^{(x-3)}}\:=\:16}$.

$\large{\underline{\underline{\mathfrak{\pink{\sf{Explanation:-}}}}}}$.

$\implies\sqrt{2^{(x-3)}}\:=\:16$.

[ Squaring Both sides. ]

$\implies\:2^{(x-3)}\:=\:16^2$.

$\implies\:2^{(x-3)}\:=\:2^8$.

➡Compare Both Side.

$\implies\:(x-3)\:=\:8$.

$\implies\:x\:=\:8\:+\:3$.

$\implies\:x\:=\:11$.

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