document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144391>Question 144391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I just can't get this!<BR>\n" );
document.write( "If a is a positive real number, such as a is not equal to 1, and a^x=b, then the logarthmic function is represented as what? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105137 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=105137\">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=a%5Ex=b ALIGN=MIDDLE  ALT=\"a%5Ex=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28a%5Ex%29%29=log%2810%2C%28b%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28a%5Ex%29%29=log%2810%2C%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the log of both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%2810%2C%28a%29%29=log%2810%2C%28b%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%2810%2C%28a%29%29=log%2810%2C%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%2810%2C%28b%29%29%2Flog%2810%2C%28a%29%29 ALIGN=MIDDLE  ALT=\"x=log%2810%2C%28b%29%29%2Flog%2810%2C%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28a%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%28a%2C%28b%29%29 ALIGN=MIDDLE  ALT=\"x=log%28a%2C%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the right side by use of the change of base formula.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );