document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080107>Question 1080107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, hope everyone is doing alright. This is my first time here so I apologize for poor formatting. This is the question I have.\r<BR>\n" );
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document.write( "\"Write the logarithmic expression as a single logarithm with a coefficient of 1\"\r<BR>\n" );
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document.write( "2/3In(x-1)+4In(x+5)-1/2In(x-4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694364 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=694364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see the following worksheet.\r<BR>\n" );
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document.write( "in general:\r<BR>\n" );
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document.write( "b*ln(a) is equal to ln(a^b)\r<BR>\n" );
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document.write( "d*ln(c) is equal to ln(c^d)\r<BR>\n" );
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document.write( "f*ln(e) is equal to ln(e^f)\r<BR>\n" );
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document.write( "ln(a^b) + ln(c^d) is equal to ln(a^b * c^d)\r<BR>\n" );
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document.write( "ln(a^b * c^d) - ln(e^f) is equal to ln(a^b * c^d / e^f)\r<BR>\n" );
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document.write( "that's what's done in the worksheet shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/050801.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "you can confirm the solution is correct by choosing any valid value of x and evaluating the original function and the final function.\r<BR>\n" );
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document.write( "the answer should be the same.\r<BR>\n" );
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document.write( "i did so with x = 12 and got 11.89172945 when evaluating both functions.\r<BR>\n" );
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document.write( "consequently i'm reasonably sure the translation from the original function to the final function was successful.\r<BR>\n" );
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