document.write( "Question 189805: what will be the value of log 0.3 to the base 9?\r
\n" ); document.write( "\n" ); document.write( "the correct answer is -1/2.
\n" ); document.write( "However i am not able to figure out the method \n" ); document.write( "

Algebra.Com's Answer #142414 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%289%2C.3%29\"$
\n" ); document.write( "This is saying that the base $\"9\"$ raised to some
\n" ); document.write( "power gives me $\".3\"$ . I can rewrite that as:
\n" ); document.write( " $\"9%5Ex+=+.3\"$
\n" ); document.write( " $\"9%5Ex+=+3%2F10\"$
\n" ); document.write( " $\"%283%5E2%29%5Ex+=+3%2F10\"$
\n" ); document.write( " $\"3%5E%282x%29+=+3%2F10\"$
\n" ); document.write( " $\"10%2A3%5E%282x%29+=+3\"$
\n" ); document.write( "Now I can take the log to the base $\"10\"$ of both sides
\n" ); document.write( " $\"1+%2B+2x%2Alog%283%29+=+log%283%29\"$
\n" ); document.write( " $\"2x%2Alog%283%29+=+log%283%29+-+1\"$
\n" ); document.write( " $\"x+=+%28log%283%29+-+1%29+%2F+%282%2Alog%283%29%29\"$
\n" ); document.write( " $\"x+=+%28.477121+-+1%29+%2F+.954243\"$
\n" ); document.write( " $\"x+=+-.522879%2F.954243\"$
\n" ); document.write( " $\"x+=+-.547952\"$
\n" ); document.write( "check answer:
\n" ); document.write( " $\"9%5E-.547952+=+.29999976\"$
\n" ); document.write( "This looks close enough
\n" ); document.write( "Actually,
\n" ); document.write( " $\"9%5E%28-1%2F2%29+=+1%2F3\"$ and not $\"3%2F10\"$ \r
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