document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585733>Question 585733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:\r<BR>\n" );
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document.write( "2log(base4)x+3log(base8)x=10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373456 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=373456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: <BR>\n" );
document.write( "2log(base4)x+3log(base8)x=10<BR>\n" );
document.write( "convert to log base2 using change of base formula: log(new base)(x)/log(new base)(old base)<BR>\n" );
document.write( "2log2(x)/log2(4)+3log2(x)/log2(8)=10<BR>\n" );
document.write( "log2(4)=2<BR>\n" );
document.write( "log2(8)=3<BR>\n" );
document.write( "2log2(x)/2+3log2(x)/3=10<BR>\n" );
document.write( "LCD=6<BR>\n" );
document.write( "6log2(x)+6log2(x)=60<BR>\n" );
document.write( "12log2(x)=60<BR>\n" );
document.write( "log2(x)=60/12=5<BR>\n" );
document.write( "x=2^5=32<BR>\n" );
document.write( " </SPAN>\n" );
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