document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205462>Question 1205462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Log 6 to the base 2+ log 7 to the base 2 equals to log a to the base 2 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842279 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log2(6) + log2(7) = log2(6*7) = log2(42)\r<BR>\n" );
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document.write( "you can use your calculator to confirm by using the log base conversion formula of log2(x) = log10(x)/log(2).\r<BR>\n" );
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document.write( "the log function of your calculator is the same as log10.<BR>\n" );
document.write( "using your calculator log funciton, then log2(x) = log(x)/log(2)\r<BR>\n" );
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document.write( "your problem want you to find A in the equation of log2(6) + log2(7) = log2(A).\r<BR>\n" );
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document.write( "one of the log rules states that logb(a) + logb(b) = logb(a*b).<BR>\n" );
document.write( "the base can be any valid log base.\r<BR>\n" );
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document.write( "consequently log2(6) + log2(7) = log2(6*7) = log2(42).\r<BR>\n" );
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document.write( "A = 42 is your answer.\r<BR>\n" );
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document.write( "you can confirm in your calculator by using the lob base conversion formula to get:\r<BR>\n" );
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document.write( "log2(6) + log2(7) = log2(42)\r<BR>\n" );
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document.write( "in your calculator, log2(6) = log(6)/log(2) and log2(7) = log(7)/log(2)<BR>\n" );
document.write( "and log2(42) = log(42)/log(2).\r<BR>\n" );
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document.write( "you get log(6)/log(2) + log(7)/log(2) = (log(6) + log(7))/log(2) = 5.392317423 and you get log(42)/log(2) = the same.\r<BR>\n" );
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document.write( "this confirms log2(6) + log2(7) is equivalent to log2(42).\r<BR>\n" );
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document.write( "here's some references for you that might help clarify your understanding of the log rules.\r<BR>\n" );
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document.write( "log change of base formula:<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.chilimath.com/lessons/advanced-algebra/change-of-base-formula-or-rule/\" target = \"_blank\">https://www.chilimath.com/lessons/advanced-algebra/change-of-base-formula-or-rule/</a>\r<BR>\n" );
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document.write( "log rules:<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.chilimath.com/lessons/advanced-algebra/logarithm-rules/\" target = \"_blank\">https://www.chilimath.com/lessons/advanced-algebra/logarithm-rules/</a>\r<BR>\n" );
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