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How do you solve this exponential equation?

#5^(2x+2)=1/625#

1 Answer

Nov 13, 2016

Recall that #625 = 5^(3)#.

#5^(2x + 2) = 5^-3#

Since we're in equal bases, we can eliminate and solve.

#2x + 2 = -3#

#2x = -5#

#x = -5/2#

Hopefully this helps!

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