How do you solve $5^(x^2) = 25/(5^x)$ ?

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Answer 1 · 2017-02-03T14:18:35

${-2, 1}$

Cross multiply:

$5^(x^2) * 5^x = 25$

Simplify using $a^n * a^m = a^(n + m)$

$5^(x^2 + x) = 25$

Write in equivalent bases.

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

$x^2 + x =2$

$x^2 + x - 2 =0$

$(x + 2)(x- 1) = 0$

$x= -2 and 1$

Hopefully this helps!

How do you solve 5^(x^2) = 25/(5^x)5^(x^2) = 25/(5^x)?