document.write( "Question 129545: solve for x:
\n" ); document.write( "log3^4-log3^x=2\r
\n" ); document.write( "\n" ); document.write( "no clue!!! \n" ); document.write( "

Algebra.Com's Answer #94601 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%283%5E4%29+-+log%283%5Ex%29+=+2\"$
\n" ); document.write( "Therre are a couple of general rules that help
\n" ); document.write( " $\"log%28a%2Ab%29+=+log%28a%29+%2B+log%28b%29\"$
\n" ); document.write( "and also
\n" ); document.write( " $\"log%28a%2Fb%29+=+log%28a%29+-+log%28b%29\"$
\n" ); document.write( "I can work this 2nd equation backwards
\n" ); document.write( " $\"log%28a%29+-+log%28b%29+=+log%28a%2Fb%29\"$
\n" ); document.write( " $\"log%283%5E4%29+-+log%283%5Ex%29+=+log%28%283%5E4%29%2F%283%5Ex%29%29\"$
\n" ); document.write( " $\"log%28%283%5E4%29%2F%283%5Ex%29%29+=+2\"$
\n" ); document.write( "I know that $\"log%28100%29+=+2\"$ , so
\n" ); document.write( " $\"log%28100%29+=+log%28%283%5E4%29%2F%283%5Ex%29%29\"$
\n" ); document.write( "and it follows that
\n" ); document.write( " $\"100+=+%283%5E4%29%2F%283%5Ex%29\"$
\n" ); document.write( " $\"100+=+81+%2F+3%5Ex\"$
\n" ); document.write( " $\"3%5Ex+=+.81\"$
\n" ); document.write( "take the log of both sides
\n" ); document.write( " $\"x%2Alog%283%29+=+log%28.81%29\"$
\n" ); document.write( " $\"x+=+log%28.81%29+%2F+log%283%29\"$
\n" ); document.write( " $\"x+=+-.1918\"$
\n" ); document.write( "check answer
\n" ); document.write( " $\"log%283%5E4%29+-+log%283%5Ex%29+=+2\"$
\n" ); document.write( " $\"log%2881%29+-+log%283%5E%28-.1918%29%29+=+2\"$
\n" ); document.write( " $\"1.9085+-+log%28.81%29+=+2\"$
\n" ); document.write( " $\"1.9085+-+%28-.0915%29+=+2\"$
\n" ); document.write( " $\"1.9085+%2B+.0915+=+2\"$
\n" ); document.write( " $\"2+=+2\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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