document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116082>Question 1116082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equivalent log equation to:\r<BR>\n" );
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document.write( "5^(3x) = 4x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730924 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "By the basic definition of logarithms:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Eb+=+c ALIGN=MIDDLE  ALT=\"a%5Eb+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2Cc%29=b ALIGN=MIDDLE  ALT=\"log%28a%2Cc%29=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To remember this definition, remember that the log is the exponent.<br><BR>\n" );
document.write( "For your example...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%283x%29+=+4x-1 ALIGN=MIDDLE  ALT=\"5%5E%283x%29+=+4x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%284x-1%29%29+=+3x ALIGN=MIDDLE  ALT=\"log%285%2C%284x-1%29%29+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Note the answer from the other tutor,<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+log%28%284x-1%29%29%2Flog%28%285%29%29 ALIGN=MIDDLE  ALT=\"3x+=+log%28%284x-1%29%29%2Flog%28%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "is also correct, demonstrating the very useful change-of-base rule for logarithms:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2Cb%29+=+log%28b%29%2Flog%28a%29 ALIGN=MIDDLE  ALT=\"log%28a%2Cb%29+=+log%28b%29%2Flog%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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