document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81530>Question 81530</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534405991/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Here is the problem I am having trouble with:\r<BR>\n" );
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document.write( "-Find the solution of the exponential equation, correct to four decimal places. \r<BR>\n" );
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document.write( "5^x = 4^x+1\r<BR>\n" );
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document.write( "so far I got:\r<BR>\n" );
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document.write( "ln5^x = ln4^x+1<BR>\n" );
document.write( "(x)ln5 = (x+1)ln4<BR>\n" );
document.write( "(x)ln5 = xln4 + ln4\r<BR>\n" );
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document.write( "If this is right, I'm not sure how to isolate x at this point.\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 #58372 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks right so far!!\r<BR>\n" );
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document.write( "5^x = 4^x+1 \r<BR>\n" );
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document.write( "so far I got: <BR>\n" );
document.write( "ln5^x = ln4^x+1<BR>\n" );
document.write( "(x)ln5 = (x+1)ln4<BR>\n" );
document.write( "(x)ln5 = (x)ln4 + ln4 \r<BR>\n" );
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document.write( "Now, you have to get all the x terms on one side, by subtracting (x) ln4 from each side:<BR>\n" );
document.write( "(x) ln5 - (x) ln4= ln4\r<BR>\n" );
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document.write( "Factor out the x:<BR>\n" );
document.write( "x(ln5-ln4) = ln 4\r<BR>\n" );
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document.write( "Divide both sides by (ln5-ln4):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28ln5-ln4%29%29%2F%28%28ln5-ln4%29%29=+%28ln4%29%2F%28%28ln5-ln4%29%29+ ALIGN=MIDDLE  ALT=\"%28x%28ln5-ln4%29%29%2F%28%28ln5-ln4%29%29=+%28ln4%29%2F%28%28ln5-ln4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This calculates to : x = 6.2126\r<BR>\n" );
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document.write( "If you are using a graphing calculator to calculate this, be sure you know where to put parentheses in the calculator to make it do what it needs to do.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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