Question

find the value of x

Answer 1

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Hlo

Given :-
(8)^255 = (32)^x

(2)^255×3 = (2)^ 5x

⏩Now on comparison of both sides⏪

we get

255 × 3 = 5x

x = (255 × 3)/5

x = 153

Thnx

Answer 2

Here is your answer
$8 {}^{255} = 32 {}^{x } \\ (2 {}^{3) {}^{255} } = (2 {}^{5) {}^{x} } \\ 2 {}^{765} = 2 {}^{5x} \\ 765 = 5x \\ x = 765 \div 5 \\ x = 153$
Hope it helps you