document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198773>Question 1198773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the following as a single logarithm of base a\r<BR>\n" );
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document.write( "2 log a(x+1)-log a(4) \r<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 #832419 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=832419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> loga(x + 1) - loga(4) is equal to loga((x+1)/4)\r<BR>\n" );
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document.write( "when a = 10, you get log10(x+1) - log10(4) = log10((x+1)/4) which is equal to log((x+1)/4) on your calculator.\r<BR>\n" );
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document.write( "to confirm, get the result of log(x+1) - log(4) and then compare it to the result of log((x+1)/4)\r<BR>\n" );
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document.write( "they should be the same.\r<BR>\n" );
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document.write( "take any random value of x that will give you a real answer.<BR>\n" );
document.write( "x = 27 will do.<BR>\n" );
document.write( "log(28) - log(4) = .84509804<BR>\n" );
document.write( "log(28/4) = log(7) = the same.\r<BR>\n" );
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document.write( "this confirms that loga(x+1) - loga(4) is equivalent to loga((x+1)/4)\r<BR>\n" );
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