document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277519>Question 277519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you solve the problem <BR>\n" );
document.write( " log base 25 (5). i need to know how to write out all of the work involved </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202026 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=202026\">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%2825%2C5%29 ALIGN=MIDDLE  ALT=\"+log%2825%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 2 ways to do thia.  One is to recognize that 5^2 = 25, so<BR>\n" );
document.write( "25^(1/2) = 5\r<BR>\n" );
document.write( "\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%2825%2C5%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"+log%2825%2C5%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "The other way is base change.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%2825%2C5%29+=+log%285%29%2Flog%2825%29 ALIGN=MIDDLE  ALT=\"+log%2825%2C5%29+=+log%285%29%2Flog%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 0.5<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Using the base change method will always work.<BR>\n" );
document.write( "If the problem had been:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%2826%2C5%29 ALIGN=MIDDLE  ALT=\"+log%2826%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%2825%2C6%29 ALIGN=MIDDLE  ALT=\"+log%2825%2C6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then the 1st method is no help.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );