document.write( "Question 441388: 10g base 4x+log base 4(x+1)=log base 4(20) \n" ); document.write( "

Algebra.Com's Answer #304673 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
1og base4(x) + log base4(x+1) = log base4(20)
\n" ); document.write( "------\r
\n" ); document.write( "\n" ); document.write( "log4[x(x+1)] = log4(20)
\n" ); document.write( "-----
\n" ); document.write( "x^2+x-20 = 0
\n" ); document.write( "(x+5)(x-4) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 4
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );