document.write( "Question 545106: how do we solve log16-log2x=4? \n" ); document.write( "

Algebra.Com's Answer #355484 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
solve log(16) - log(2x) = 4
\n" ); document.write( "subtraction means divide, so write
\n" ); document.write( " $\"log%28%2816%2F%282x%29%29%29\"$ = 4
\n" ); document.write( "Simplify,cancel 2
\n" ); document.write( " $\"log%28%288%2Fx%29%29\"$ = 4
\n" ); document.write( "write the exponent equiv of logs
\n" ); document.write( " $\"10%5E4\"$ = $\"8%2Fx\"$
\n" ); document.write( "10000x = 8
\n" ); document.write( "x = $\"8%2F10000\"$
\n" ); document.write( "x = .0008
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this on your calc: enter log(16) - log(2*.0008), results: 4
\n" ); document.write( " \n" ); document.write( "

\n" );