document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436792>Question 436792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The teacher gave us problems based on the properties of logarithms. I understand some but still need a help with a few.the problem <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log+%28+6%2C+a%5E2%2B2+%29+%2B+log+%28+6%2C+2+%29+=+2+ ALIGN=MIDDLE  ALT=\"+log+%28+6%2C+a%5E2%2B2+%29+%2B+log+%28+6%2C+2+%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and finally the harder one for me is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log+%28+5%2C+64+%29+-+log+%28+5%2C+8%2F3+%29+%2B+log+%28+5%2C+2+%29+=+log+%28+5%2C+4p+%29+ ALIGN=MIDDLE  ALT=\"+log+%28+5%2C+64+%29+-+log+%28+5%2C+8%2F3+%29+%2B+log+%28+5%2C+2+%29+=+log+%28+5%2C+4p+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302146 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Just remember that logs are exponents or powers.<BR>\n" );
document.write( "When you add them you achieve multiplication.<BR>\n" );
document.write( "When you subtract them you achieve division.<BR>\n" );
document.write( "When you multiply them you are multiplying over and over again.<BR>\n" );
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document.write( "The teacher gave us problems based on the properties of logarithms. I understand some but still need a help with a few.the problem <BR>\n" );
document.write( "log ( 6, a^2+2 ) + log ( 6, 2 ) = 2  <BR>\n" );
document.write( "----<BR>\n" );
document.write( "log6(a^2+2) + log6(2) = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "log6[2a^2+4] = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2a^2+4 = 6^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2a^2+4-36 = 0<BR>\n" );
document.write( "2a^2-32 = 0<BR>\n" );
document.write( "2(a^2-16) = 0<BR>\n" );
document.write( "a^2-16 = 0<BR>\n" );
document.write( "a = +/-4<BR>\n" );
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document.write( "<BR>\n" );
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document.write( "and finally the harder one for me is <BR>\n" );
document.write( "log ( 5, 64 ) - log ( 5, 8/3 ) + log ( 5, 2 ) = log ( 5, 4p ) <BR>\n" );
document.write( "---<BR>\n" );
document.write( "log5(64) - log5(8/3) + log5(2) = log5(4p)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "log5[64*2/(8/3)] = log5(4p)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "log5[16/3] = log4(4p)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "4p = 16/3<BR>\n" );
document.write( "p = 4/3<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================== </SPAN>\n" );
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