document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629058>Question 629058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If log(base 5)2 = m , express log 20 in terms of m.<BR>\n" );
document.write( "I tried splitting log 20 into log 2 + log 10 = log 2 + 1<BR>\n" );
document.write( "And played around with log(base 5)2 = log2/log5 = m\r<BR>\n" );
document.write( "\n" );
document.write( "But I can't reach the answer of (2m+1)/(m+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396006 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If log(base 5)2 = m , express log 20 in terms of m.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C2%29+=+m ALIGN=MIDDLE  ALT=\"log%285%2C2%29+=+m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "If you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C20%29 ALIGN=MIDDLE  ALT=\"log%2810%2C20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C2%29+=+m ALIGN=MIDDLE  ALT=\"log%285%2C2%29+=+m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "20 = 2*5*2<BR>\n" );
document.write( "log(20) = log(2) + log(5) + log(2) to any base<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C20%29+=+m+%2B+1+%2B+m+=+2m%2B1 ALIGN=MIDDLE  ALT=\"log%285%2C20%29+=+m+%2B+1+%2B+m+=+2m%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C10%29+=+log%282%29+%2B+log%285%29+=+m%2B1 ALIGN=MIDDLE  ALT=\"log%285%2C10%29+=+log%282%29+%2B+log%285%29+=+m%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Use base change:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C20%29+=+log%285%2C20%29%2Flog%285%2C10%29 ALIGN=MIDDLE  ALT=\"log%2810%2C20%29+=+log%285%2C20%29%2Flog%285%2C10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= (2m+1)/(m+1)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );