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

1 Answer

Aug 27, 2016

#x=2#

Explanation:

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

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

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

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

Equating indices #-> 2x=4#

#:. x=2#

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