document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064355>Question 1064355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the following as a single logarithm (base is 10 unless otherwise indicated):\r<BR>\n" );
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document.write( "log2-log3+log5=<BR>\n" );
document.write( "log2-(log3+log5)=<BR>\n" );
document.write( "log2-log(3*5)=<BR>\n" );
document.write( "log2-log15=<BR>\n" );
document.write( "log(2/5)=0.8751\r<BR>\n" );
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document.write( "Now, I did this problem this way and answers don't match. Please explain why? Thank you very much. \r<BR>\n" );
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document.write( "(log2-log3)+log5=<BR>\n" );
document.write( "log(2/3)+log5=<BR>\n" );
document.write( "log((2/3)*5)=<BR>\n" );
document.write( "log(10/3)=0.5228\r<BR>\n" );
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document.write( "Now, which one is the solution to the question? I am confused!!!!!!!!!! Thank you very much.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679411 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=679411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Express the following as a single logarithm (base is 10 unless otherwise indicated):\r<BR>\n" );
document.write( "\n" );
document.write( "log2-log3+log5=<BR>\n" );
document.write( "log2-(log3+log5)=<BR>\n" );
document.write( "log2-log(3*5)=<BR>\n" );
document.write( "log2-log15=<BR>\n" );
document.write( "log(2/5)=0.8751\r<BR>\n" );
document.write( "\n" );
document.write( "Now, I did this problem this way and answers don't match. Please explain why? Thank you very much. \r<BR>\n" );
document.write( "\n" );
document.write( "(log2-log3)+log5=<BR>\n" );
document.write( "log(2/3)+log5=<BR>\n" );
document.write( "log((2/3)*5)=<BR>\n" );
document.write( "log(10/3)=0.5228\r<BR>\n" );
document.write( "\n" );
document.write( "Now, which one is the solution to the question? I am confused!!!!!!!!!! Thank you very much. <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">The 2nd simplification is correct.<BR>\n" );
document.write( "log 2 - log 3 + log 5 ======> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28%282%2F3%29+%2A+5%29 ALIGN=MIDDLE  ALT=\"log+%28%282%2F3%29+%2A+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ======> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28%2810%2F3%29%29 ALIGN=MIDDLE  ALT=\"log+%28%2810%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your 1st simplification was INCORRECT and that's why you got a different answer.<BR>\n" );
document.write( "log2 - log 3 + log 5 <BR>\n" );
document.write( "log2-(log3+log5) <========= This is INCORRECT<BR>\n" );
document.write( "Putting parentheses around the 2nd and 3rd logs in the expression would give you: log 2 - (log 3 - log 5)<BR>\n" );
document.write( "I hope you realize that when the OPEN PARENTHESIS is placed around log 3, the \"+\" after log 3 changes to \"-\".<BR>\n" );
document.write( "Continuing, we get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C7%2C+log+%28%282%29%29+-+log+%28%283%2F5%29%29%2C+%22=====%3E%22%2C+log+%28%282%2F%283%2F5%29%29%29%2C+%22=====%3E%22%2C+log+%28%282+%2A+%285%2F3%29%29%29%2C+%22=====%3E%22%2C+log+%28%2810%2F3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, which is same as above. </SPAN>\n" );
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