document.write( "Question 132625: Simplify: 8log10 \n" ); document.write( "

Algebra.Com's Answer #96925 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The general rule is:
\n" ); document.write( " $\"log%28a%29+%2B+log%28b%29+=+log%28a%2Ab%29\"$
\n" ); document.write( "Note that:
\n" ); document.write( "

\n" ); document.write( "Following the general rule,
\n" ); document.write( " $\"8%2Alog%2810%29+=+log%2810%2A10%2A10%2A10%2A10%2A10%2A10%2A10%29\"$
\n" ); document.write( " $\"log%2810%2A10%2A10%2A10%2A10%2A10%2A10%2A10%29+=+log%2810%5E8%29\"$
\n" ); document.write( "This is saying \"What is the exponent to the base 10 which gives
\n" ); document.write( "me $\"10%5E8\"$ ? The question answers itself.
\n" ); document.write( " $\"8%2Alog%2810%29+=+8\"$
\n" ); document.write( "Another way to look at it is $\"log%2810%29\"$ is asking me: \"What is the
\n" ); document.write( "exponent to the base 10 which gives me $\"10%5E1\"$ ? The
\n" ); document.write( "answer is obviously $\"1\"$
\n" ); document.write( "and $\"8%2Alog%2810%29+=+8%2A1\"$
\n" ); document.write( " $\"8%2A1+=+8\"$ \n" ); document.write( "

\n" );