$8^{x}$ = $2^{6}$ , find the value of x?

$3$

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$2$

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$1$

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$4$

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Solution

The correct option is B
$2$

$2^{6} = 8^{x} 2^{6} = (2^{3})^{x} = 2^{3 x} [(a^{b})^{m} = a^{b m}] \Rightarrow 3 x = 6 \Rightarrow x = \frac{6}{3} = 2 H e n c e, 8^{2} = 2^{6}$

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