document.write( "Question 867028: Solve log 4+ 2log x= 6 \n" ); document.write( "

Algebra.Com's Answer #522657 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The key to solving this is to
\n" ); document.write( "recognize that $\"+6+=+log%28%28+1000000+%29%29+\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+log%284%29+%2B+2%2Alog%28x%29+=+log%28%28+1000000+%29%29+\"$
\n" ); document.write( " $\"+2%2Alog%28x%29+=+log%28%28+1000000+%29%29+-+log%284%29+\"$
\n" ); document.write( " $\"+log%28%28x%5E2%29%29+=+log%28%28+10%5E6%2F4+%29%29+\"$
\n" ); document.write( " $\"+x%5E2+=+10%5E6%2F4+\"$
\n" ); document.write( " $\"+x+=+10%5E3%2F2+\"$
\n" ); document.write( " $\"+x+=+500+\"$
\n" ); document.write( "( note that $\"+-500+\"$ does not work because
\n" ); document.write( " $\"+2%2Alog%28%28+-500+%29%29+\"$ makes no sense )
\n" ); document.write( "----------------------
\n" ); document.write( "You can check the answer with a calculator:
\n" ); document.write( " $\"+log%284%29+%2B+2%2Alog%28x%29+=+6+\"$
\n" ); document.write( " $\"+.60206+%2B+2%2Alog%28x%29+=+6+\"$
\n" ); document.write( " $\"+2%2Alog%28x%29+=+6+-+.60206+\"$
\n" ); document.write( " $\"+2%2Alog%28x%29+=+5.39794+\"$
\n" ); document.write( " $\"+log%28x%29+=+2.69897+\"$
\n" ); document.write( " $\"+x+=+10%5E2.69897+\"$
\n" ); document.write( " $\"+x+=+499.999995+\"$
\n" ); document.write( "close enough\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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