document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061258>Question 1061258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using laws of logarithms, write the expression below using sums and/or differences of logarithmic expressions which do not contain the logarithms of products, quotients, or powers. Enter the natural logarithm of x as ln(x) or log(x). Use decimals instead of fractions.\r<BR>\n" );
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document.write( "ln(x^3((sqrt(x-3)) / 4x+5) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676053 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(x^3((sqrt(x-3)) / 4x+5) = <BR>\n" );
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document.write( "ln(x^3((sqrt(x-3)) - ln(4x+5) =<BR>\n" );
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document.write( "used logarithmic division rule<BR>\n" );
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document.write( "ln(x^3) + ln((x-3)^(1/2)) - ln(4x+5) =<BR>\n" );
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document.write( "used logarithmic multiply rule<BR>\n" );
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document.write( "3ln(x-3) + ln(x-3)/2 -ln(4x+5)<BR>\n" );
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document.write( "3ln(x)/ln(3) + ln(x)/2ln(3) - ln(4x+5)<BR>\n" );
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document.write( "Note 3/ln(3) = 2.7307, 1/2ln(3) = 0.4551<BR>\n" );
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document.write( "2.7307ln(x) + 0.4551ln(x) - ln(4x+5)<BR>\n" );
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document.write( " </SPAN>\n" );
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