document.write( "Question 37532: log(base 3)(x+1)-log(base 3)(x)= log(base 3)4 \n" ); document.write( "

Algebra.Com's Answer #23137 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%283%2C%28x%2B1%29%29+-+log%283%2Cx%29+=+log%283%2C4%29\"$
\n" ); document.write( "log a/b = log a - log b
\n" ); document.write( " $\"log%283%2C%28x%2B1%29%2Fx%29+=+log%283%2C4%29\"$
\n" ); document.write( "If the logs are equal, then the things we are taking the
\n" ); document.write( "log of are equal
\n" ); document.write( " $\"%28x+%2B+1%29+%2F+x+=+4\"$
\n" ); document.write( " $\"x+%2B+1++=+4x\"$
\n" ); document.write( " $\"3x+=+1\"$
\n" ); document.write( " $\"x+=+1%2F3\"$
\n" ); document.write( "check
\n" ); document.write( " $\"log%283%2C%28x%2B1%29%29+-+log%283%2Cx%29+=+log%283%2C4%29\"$
\n" ); document.write( " $\"log%283%2C4%2F3%29+-+log%283%2C1%2F3%29+=+log%283%2C4%29\"$
\n" ); document.write( " $\"log%283%2C4%29+-+log%283%2C3%29+-+log%283%2C1%29+%2B+log%283%2C3%29+=+log%283%2C4%29\"$
\n" ); document.write( "note that
\n" ); document.write( "

\n" ); document.write( " $\"log%283%2C4%29+-+1+-+0+%2B+1+=+log%283%2C4%29\"$
\n" ); document.write( "checks OK \n" ); document.write( "

\n" );