document.write( "Question 157745: How do I find log subscript x(16)= -2? \n" ); document.write( "

Algebra.Com's Answer #116216 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%28x%2C16%29+=+-2\"$
\n" ); document.write( "write this as
\n" ); document.write( " $\"x%5E%28-2%29+=+16\"$
\n" ); document.write( "now take the square root of both sides
\n" ); document.write( " $\"x%5E%28-2%2A%281%2F2%29%29+=+4\"$
\n" ); document.write( " $\"x%5E%28-1%29+=+4\"$
\n" ); document.write( "multiply both sides by $\"x\"$
\n" ); document.write( " $\"1+=+4x\"$
\n" ); document.write( " $\"x+=+1%2F4\"$ answer
\n" ); document.write( "check:
\n" ); document.write( " $\"x%5E%28-2%29+=+16\"$
\n" ); document.write( " $\"%281%2F4%29%5E%28-2%29+=+16\"$
\n" ); document.write( " $\"1+%2F+%281%2F4%29%5E2+=+16\"$
\n" ); document.write( "multiply both sides by $\"%281%2F4%29%5E2\"$
\n" ); document.write( " $\"1+=+16%2A%281%2F16%29\"$
\n" ); document.write( " $\"1+=+1\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );