document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210783>Question 210783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It has been a while since i have done logarithms so how would you go about doing this problem?\r<BR>\n" );
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document.write( "4x3^x = 7x5^x \r<BR>\n" );
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document.write( "I know that you want to solve for x but I am not sure how. \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159247 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that the first 'x's on each side are multiplication symbols.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A3%5Ex+=+7%2A5%5Ex ALIGN=MIDDLE  ALT=\"4%2A3%5Ex+=+7%2A5%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%284%2A3%5Ex%29%29=log%2810%2C%287%2A5%5Ex%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%284%2A3%5Ex%29%29=log%2810%2C%287%2A5%5Ex%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the log of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%284%29%29%2Blog%2810%2C%283%5Ex%29%29=log%2810%2C%287%29%29%2Blog%2810%2C%285%5Ex%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the log using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%283%5Ex%29%29=log%2810%2C%287%29%29%2Blog%2810%2C%285%5Ex%29%29-log%2810%2C%284%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%284%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%283%5Ex%29%29-log%2810%2C%285%5Ex%29%29=log%2810%2C%287%29%29-log%2810%2C%284%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%285%5Ex%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%285%5Ex%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%2810%2C%283%29%29-x%2Alog%2810%2C%285%29%29=log%2810%2C%287%29%29-log%2810%2C%284%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the logs on the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28log%2810%2C%283%29%29-log%2810%2C%285%29%29%29=log%2810%2C%287%29%29-log%2810%2C%284%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 'x' on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28log%2810%2C%283%2F5%29%29%29=log%2810%2C%287%2F4%29%29 ALIGN=MIDDLE  ALT=\"x%2A%28log%2810%2C%283%2F5%29%29%29=log%2810%2C%287%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%2810%2C%287%2F4%29%29%2F%28log%2810%2C%283%2F5%29%29%29 ALIGN=MIDDLE  ALT=\"x=log%2810%2C%287%2F4%29%29%2F%28log%2810%2C%283%2F5%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%283%2F5%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%283%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate 'x'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1.0955 ALIGN=MIDDLE  ALT=\"x=-1.0955\"   DISABLED_style= \"max-width:90%; height:auto;\" > Approximate the answer (with a calculator)\r<BR>\n" );
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document.write( "So the exact answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%2810%2C%287%2F4%29%29%2F%28log%2810%2C%283%2F5%29%29%29 ALIGN=MIDDLE  ALT=\"x=log%2810%2C%287%2F4%29%29%2F%28log%2810%2C%283%2F5%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which can be simplified to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x=\log_{\frac{3}{5}}\left(\frac{7}{4}\right)\"> and the approximate answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1.0955 ALIGN=MIDDLE  ALT=\"x=-1.0955\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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