How do you solve $(-5)^(2x)=625$ ?

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Answer 1 · 2016-08-27T02:18:46

$x=2$

$(-5)^(2x) = 625$

$((-5)^2)^x = 5^4$

$(5^2)^x = 5^4$

$5^(2x) = 5^4$

Equating indices $-> 2x=4$

$:. x=2$

How do you solve (-5)^(2x)=625(-5)^(2x)=625?