document.write( "Question 855096: how do i solve\r
\n" ); document.write( "\n" ); document.write( "2logx+log4=2
\n" ); document.write( "

Algebra.Com's Answer #515059 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The trick is to express \"+2+\" as a log
\n" ); document.write( "\"+2+=+log%28+100+%29+\"
\n" ); document.write( "\"+2%2Alog%28+x+%29+%2B+log%28+4+%29+=+2+\"
\n" ); document.write( "\"+2%2Alog%28+x+%29+%2B+log%28+4+%29+=+log%28+100+%29+\"
\n" ); document.write( "\"+log%28+x%5E2+%29+%2B+log%284%29+=+log%28+100+%29+\"
\n" ); document.write( "\"+log%28+4x%5E2+%29+=+log%28+100+%29+\"
\n" ); document.write( "\"+4x%5E2+=+100+\"
\n" ); document.write( "\"+x%5E2+=+25+\"
\n" ); document.write( "\"+x+=+5+\"
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "\"+2%2Alog%28+x+%29+%2B+log%28+4+%29+=+2+\"
\n" ); document.write( "\"+2%2Alog%28+5+%29+%2B+log%28+4+%29+=+2+\"
\n" ); document.write( "\"+2%2A.69897+%2B+.60206+=+2+\"
\n" ); document.write( "\"+1.39794+%2B+.60206+=+2+\"
\n" ); document.write( "\"+2+=+2+\"
\n" ); document.write( "Ok
\n" ); document.write( "---------
\n" ); document.write( "Also note that \"+x+=+-5+\" the other square root
\n" ); document.write( "doesn't work because \"+log%28%28+-5+%29%29+\" makes no sense.
\n" ); document.write( "You can't raise base 10 to an exponent and
\n" ); document.write( "get a negative result.
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