document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115701>Question 115701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log base5 (3x+15)- log base 5 of 3x=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84196 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=84196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C3x%2B15%29-log%285%2C3x%29=1 ALIGN=MIDDLE  ALT=\"log%285%2C3x%2B15%29-log%285%2C3x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You need to use three of the rules for logarithms for this problem.\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%5Ea%29=a%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%5Ea%29=a%2Alog%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cf%28x%29%29%2Blog%28b%2Cg%28x%29%29=log%28b%2Cf%28x%29%2Ag%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cf%28x%29%29%2Blog%28b%2Cg%28x%29%29=log%28b%2Cf%28x%29%2Ag%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%29=y ALIGN=MIDDLE  ALT=\"log%28b%2Cx%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ey=x ALIGN=MIDDLE  ALT=\"b%5Ey=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the first rule, you can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C3x%2B15%29%2Blog%285%2C3x%5E%28-1%29%29=1 ALIGN=MIDDLE  ALT=\"log%285%2C3x%2B15%29%2Blog%285%2C3x%5E%28-1%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, notice that the minus sign in the original equation became an exponent of -1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C3x%2B15%29%2Blog%285%2C%281%2F3x%29%29=1 ALIGN=MIDDLE  ALT=\"log%285%2C3x%2B15%29%2Blog%285%2C%281%2F3x%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (using the rule <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-1%29=1%2Fx ALIGN=MIDDLE  ALT=\"x%5E%28-1%29=1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Now applying rule 2) we can write:<BR>\n" );
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document.write( "Now, using rule 3) we can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E1=%283x%2B15%29%2A%281%2F3x%29 ALIGN=MIDDLE  ALT=\"5%5E1=%283x%2B15%29%2A%281%2F3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify and solve for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x=3x%2B15 ALIGN=MIDDLE  ALT=\"15x=3x%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x=15 ALIGN=MIDDLE  ALT=\"12x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=5 ALIGN=MIDDLE  ALT=\"4x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2F4 ALIGN=MIDDLE  ALT=\"x=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Done.\r<BR>\n" );
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