document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104654>Question 1104654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given log3 a = c and log3 b=2c, then solve for a<BR>\n" );
document.write( "SOLUTION<BR>\n" );
document.write( "take the base for common logarithms as 10<BR>\n" );
document.write( "rewrite each in index notation i.e<BR>\n" );
document.write( "10^c = 3a, and 10^(2c)= 3b\r<BR>\n" );
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document.write( "let y= 10^c such that y=3a and y^2= 3b<BR>\n" );
document.write( "this implies that 9a^2=3b<BR>\n" );
document.write( "therefore a^2=3b/9<BR>\n" );
document.write( "a=(b/3)^0.5\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719350 by </B><A HREF=/tutors/aboutme.mpl?userid=owandera><B>owandera(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=owandera><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=719350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given log3 a = c and log3 b=2c, then solve for a<BR>\n" );
document.write( "SOLUTION<BR>\n" );
document.write( "take the base for common logarithms as 10<BR>\n" );
document.write( "rewrite each in index notation i.e<BR>\n" );
document.write( "10^c = 3a, and 10^(2c)= 3b\r<BR>\n" );
document.write( "\n" );
document.write( "let y= 10^c such that y=3a and y^2= 3b\r<BR>\n" );
document.write( "\n" );
document.write( "this implies that (3a)^2=3b\r<BR>\n" );
document.write( "\n" );
document.write( "therefore a^2=3b/9\r<BR>\n" );
document.write( "\n" );
document.write( "a=(b/3)^0.5\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );