document.write( "Question 859781: How do i condense the logarithmic expression 5 lnx-1/7ln 7 \n" ); document.write( "

Algebra.Com's Answer #517982 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
5*ln(x) = ln(x^5)
\n" ); document.write( "(1/7)*ln(7) = ln(7^(1/7)
\n" ); document.write( "ln(x^5) - ln(7^(1/7)) = ln(x^5 / 7^(1/7))
\n" ); document.write( "that should be it.
\n" ); document.write( "your original equation is:
\n" ); document.write( "5*lnx-1/7ln 7
\n" ); document.write( "your final equation is:
\n" ); document.write( "ln(x^5 / 7^(1/7))
\n" ); document.write( "i let x = 25 and solved both original equation and final equation and got the same answer which indicates the conversion was done correctly.
\n" ); document.write( "you can simplify it a little further by finding 7^(1/7) to get:
\n" ); document.write( "ln(x^5 / 1.3205) rounded to 4 decimal places.\r
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