SOLUTION: log(base 125)x - log(base 5)x = -2

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Question 919571: log(base 125)x - log(base 5)x = -2
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
log(base 125)x - log(base 5)x = -2
use change of base formula:

..

lcd:3


5^-6=1/x^2
x^2=1/5^-6
x=±1/5^-3
x=125
check:
log(base 125)x=log(base 125)(125)=1
log(base 5)x=log(base 5)(125)=3
log(base 125)x - log(base 5)x=1-3=-2

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