Find the value of $x$ in the following equation
$5^{x} + 2 (5^{x}) + 3 (5^{x}) = 750$

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Solution

Given $5^{x} + 2 (5^{x}) + 3 (5^{x}) = 750$

$⟹ 6 \times 5^{x} = 750$

$⟹ 5^{x} = \frac{750}{6} = 125$

$⟹ 5^{x} = 5^{3}$

$⟹ x = 3$

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