Find the value of $x$ for which $(50^{3})^{x} = (50^{24})$

8

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6

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21

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18

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Solution

The correct option is C $8$
$(50^{3})^{x} = 50^{3 x}$
Also, $50^{3 x} = 50^{24}$
$∴ 3 x = 24$
$∴ x = 8$
So, option $A$ is correct.

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Similar questions

\frac{8^{x} + 27^{x}}{12^{x} + 18^{x}} = \frac{7}{6}

\frac{8^{x} + 27^{x}}{12^{x} + 18^{x}} = \frac{7}{6}

\frac{x + 5}{4} - \frac{3 x - 1}{8} + \frac{4 - x}{6} = 2 \frac{1}{24}

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\frac{2 x}{3} - \frac{x - 1}{6} + \frac{7 x - 1}{4} = 2 \frac{1}{6}

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a

\frac{1}{a} + 5 x = 8.

Solve : $\frac{2 x}{3} - \frac{x - 1}{6} + \frac{7 x - 1}{4} = 2 \frac{1}{6} .$

Hence, find the value of 'a', if $\frac{1}{a} + 5 x = 8.$

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