$5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x}$ = 625

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Solution

given, $5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x} = 625$

$\Rightarrow 5 \times 5^{x} = 5^{4}$

$\Rightarrow 5^{x + 1} = 5^{4}$

$\Rightarrow x + 1 = 4$

$\Rightarrow x = 3$

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