document.write( "Question 1058225: Log5(7+x)+log5(8-x)-log5(2)=2 \n" ); document.write( "

Algebra.Com's Answer #673262 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Convert $\"+2+\"$ to a log to the base 5
\n" ); document.write( " $\"+log%28+5%2C+7%2Bx+%29+%2B+log%28+5%2C+8-x+%29+-+log%28+5%2C+2+%29+=+2+\"$
\n" ); document.write( " $\"+log%28+5%2C+7%2Bx+%29+%2B+log%28+5%2C+8-x+%29+-+log%28+5%2C+2+%29+=+log%28+5%2C+25+%29+\"$
\n" ); document.write( " $\"+log%28+5%2C+%28+7%2Bx+%29%2A%28+8+-+x+%29%2F2+%29+=+log%28+5%2C+25+%29+\"$
\n" ); document.write( " $\"+%28+7%2Bx+%29%2A%28+8-x+%29%2F2+=+25+\"$
\n" ); document.write( " $\"+%28+7%2Bx+%29%2A%28+8-x+%29+=+50+\"$
\n" ); document.write( " $\"+56+%2B+8x+-+7x+-+x%5E2+=+50+\"$
\n" ); document.write( " $\"+-x%5E2+%2B+x+%2B+6+=+0+\"$
\n" ); document.write( " $\"+%28+-x+%2B+3+%29%2A%28+x+%2B+2+%29+=+0+\"$ ( I just figured it out )
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( " $\"+x+=+-2+\"$
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "I'll check $\"+x+=+-2+\"$
\n" ); document.write( " $\"+log%28+5%2C+7%2Bx+%29+%2B+log%28+5%2C+8-x+%29+-+log%28+5%2C+2+%29+=+2+\"$
\n" ); document.write( " $\"+log%28+5%2C+7-2+%29+%2B+log%28+5%2C+8%2B2+%29+-+log%28+5%2C+2+%29+=+2+\"$
\n" ); document.write( " $\"+log%28+5%2C+5+%29+%2B+log%28+5%2C+10+%29+-+log%28+5%2C+2+%29+=+2+\"$
\n" ); document.write( " $\"+1+%2B+log%28+5%2C2+%29+%2B+log%28+5%2C5+%29+-+log%28+5%2C2+%29+=+2+\"$
\n" ); document.write( " $\"+1+%2B+1+=+2+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can check $\"+x=3+\"$
\n" ); document.write( " \n" ); document.write( "

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