document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85515>Question 85515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve the equation<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%283x%29=7%5E%28x%2B1%29 ALIGN=MIDDLE  ALT=\"4%5E%283x%29=7%5E%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.My teacher uses handouts to teach,so I am stumped with no material to reference.Please help.Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61751 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=61751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%283x%29=7%5E%28x%2B1%29 ALIGN=MIDDLE  ALT=\"4%5E%283x%29=7%5E%28x%2B1%29\"   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%5E%283x%29%29%29=log%2810%2C%287%5E%28x%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%284%5E%283x%29%29%29=log%2810%2C%287%5E%28x%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the log (which has a default base of 10) of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Alog%2810%2C4%29=%28x%2B1%29log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"3x%2Alog%2810%2C4%29=%28x%2B1%29log%2810%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the logarithms using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%5Ea%29=a%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%5Ea%29=a%2Alog%28b%2Cx%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=3x%2Alog%2810%2C4%29-%28x%2B1%29log%2810%2C7%29=0 ALIGN=MIDDLE  ALT=\"3x%2Alog%2810%2C4%29-%28x%2B1%29log%2810%2C7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29log%2810%2C7%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=3x%2Alog%2810%2C4%29-%28x%2Alog%2810%2C7%29%2Blog%2810%2C7%29%29=0 ALIGN=MIDDLE  ALT=\"3x%2Alog%2810%2C4%29-%28x%2Alog%2810%2C7%29%2Blog%2810%2C7%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"log%2810%2C7%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=3x%2Alog%2810%2C4%29-x%2Alog%2810%2C7%29-log%2810%2C7%29=0 ALIGN=MIDDLE  ALT=\"3x%2Alog%2810%2C4%29-x%2Alog%2810%2C7%29-log%2810%2C7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute the negative\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Alog%2810%2C4%29-x%2Alog%2810%2C7%29=log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"3x%2Alog%2810%2C4%29-x%2Alog%2810%2C7%29=log%2810%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"log%2810%2C7%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%283%2Alog%2810%2C4%29-log%2810%2C7%29%29=log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"x%283%2Alog%2810%2C4%29-log%2810%2C7%29%29=log%2810%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out an x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28log%2810%2C4%5E3%29-log%2810%2C7%29%29=log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"x%28log%2810%2C4%5E3%29-log%2810%2C7%29%29=log%2810%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the logarithm using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Alog%28b%2Cx%29=log%28b%2Cx%5Ea%29 ALIGN=MIDDLE  ALT=\"a%2Alog%28b%2Cx%29=log%28b%2Cx%5Ea%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%28log%2810%2C64%29-log%2810%2C7%29%29=log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"x%28log%2810%2C64%29-log%2810%2C7%29%29=log%2810%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise 4 to the third power\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28log%2810%2C%2864%2F7%29%29%29=log%2810%2C7%29 ALIGN=MIDDLE  ALT=\"x%28log%2810%2C%2864%2F7%29%29%29=log%2810%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%29-log%28b%2Cy%29=log%28b%2C%28x%2Fy%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%29-log%28b%2Cy%29=log%28b%2C%28x%2Fy%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%2C7%29%2F%28log%2810%2C%2864%2F7%29%29%29 ALIGN=MIDDLE  ALT=\"x=log%2810%2C7%29%2F%28log%2810%2C%2864%2F7%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%2864%2F7%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%2864%2F7%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=0.845098%2F0.961082 ALIGN=MIDDLE  ALT=\"x=0.845098%2F0.961082\"   DISABLED_style= \"max-width:90%; height:auto;\" > Using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C7%29=0.845098 ALIGN=MIDDLE  ALT=\"log%2810%2C7%29=0.845098\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%2864%2F7%29%29=0.961082 ALIGN=MIDDLE  ALT=\"log%2810%2C%2864%2F7%29%29=0.961082\"   DISABLED_style= \"max-width:90%; height:auto;\" > as approximations, evaluate the logs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.879319 ALIGN=MIDDLE  ALT=\"x=0.879319\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%283%2A0.879319%29=7%5E%280.879319%2B1%29 ALIGN=MIDDLE  ALT=\"4%5E%283%2A0.879319%29=7%5E%280.879319%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.879319 ALIGN=MIDDLE  ALT=\"x=0.879319\"   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=38.7443=38.7443 ALIGN=MIDDLE  ALT=\"38.7443=38.7443\"   DISABLED_style= \"max-width:90%; height:auto;\" > works \r<BR>\n" );
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