$5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x} = 5$ .Find x

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Solution

$5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x} = 5$
$⟹ 5 (5^{x}) = 5$
$⟹ 5^{x + 1} = 5^{1}$
$⟹ x + 1 = 1 ⟹ x = 0$

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