document.write( "Question 1010571: what is the solution set for log5(x-7)+log5(x-4)-log5x=1 \n" ); document.write( "

Algebra.Com's Answer #626015 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
what is the solution set for log5(x-7)+log5(x-4)-log5x=1
\n" ); document.write( "----
\n" ); document.write( "log5[(x-7)*(x-4)/(x)] = 1
\n" ); document.write( "------
\n" ); document.write( "x(x-7)(x-4) = 5
\n" ); document.write( "------
\n" ); document.write( "x(x^2-11x+28) = 5
\n" ); document.write( "---
\n" ); document.write( "x^3 - 11x^2 + 28x - 5 = 0
\n" ); document.write( "----
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E3-11x%5E2%2B28x-5%29\"$
\n" ); document.write( "------
\n" ); document.write( "x = 0.1929 or x = 3.5916 or x = 7.2155
\n" ); document.write( "------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );