SOLUTION: How do i condense the logarithmic expression 5 lnx-1/7ln 7

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Question 859781: How do i condense the logarithmic expression 5 lnx-1/7ln 7
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
5*ln(x) = ln(x^5)
(1/7)*ln(7) = ln(7^(1/7)
ln(x^5) - ln(7^(1/7)) = ln(x^5 / 7^(1/7))
that should be it.
your original equation is:
5*lnx-1/7ln 7
your final equation is:
ln(x^5 / 7^(1/7))
i let x = 25 and solved both original equation and final equation and got the same answer which indicates the conversion was done correctly.
you can simplify it a little further by finding 7^(1/7) to get:
ln(x^5 / 1.3205) rounded to 4 decimal places.