Question 300365: log625(1/5)=x
I get to the point of 625^x=-5 and I am confused. May I please ask for assistance.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! log625(1/5)=x
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Write the equation in exponential form.
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625^x = (1/5)
Write the right side in exponential form.
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625^x = 5^(-1)
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Since the base is 5 on the right side, convert the left
side to base 5:
(5^4)^x = 5^(-1)
5^(4x) = 5^(-1)
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The bases are the same so equate the exponents.
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4x = -1
x = -1/4
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Cheers,
Stan H.
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