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

Question 859781: How do i condense the logarithmic expression 5 lnx-1/7ln 7
Answer by Theo(13342) (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.

RELATED QUESTIONS
how do i condense the expression log3 7 - log3... (answered by jim_thompson5910)

how do you condense,... (answered by Alan3354)

How do I condense the following expression:... (answered by lwsshak3)

Use properties of logarithms to condense the logarithmic expression. Write the expression (answered by dabanfield)

Use properties of logarithms to condense the logarithmic expression. Write the expression (answered by lwsshak3)

i need to know how to condense {{{ (1/4)ln x+ 3ln y}}} into one logarithmic... (answered by Fombitz)

Condense the expression: lnx + lny + lnx + 2lny - 2lnx - lny this is for my test... (answered by unlockmath)

solve the logarithmic equation:... (answered by Alan3354)

write 1/2[lnx+ln(x+2)]-2ln(x-5)as a single logarithmic... (answered by jsmallt9)