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if 5 ^ 5 × 5 ^ x = ( 125 ) ^ 4 , then what is the value of x ?
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$\textbf{Answer:}$

$x=7$

$\textbf{Expalination:}$

$5^5 \cdot 5^x = 125^4$

$5^{5+x} = (5^3)^4$

$5^{5+x} = 5^{12}$

$5+x=12$  (exponent rules)

$x=7$
by Wooden (1,756 points)

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