document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865373>Question 865373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4^(3x-2)=6^x<BR>\n" );
document.write( "I have the solution x=1.1713 to 4 decimal places.<BR>\n" );
document.write( "I am just not sure what steps I need to take in order to find this solution. <BR>\n" );
document.write( "Please help!<BR>\n" );
document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521661 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=521661\">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-2%29=6%5Ex ALIGN=MIDDLE  ALT=\"4%5E%283x-2%29=6%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=ln%284%5E%283x-2%29%29=ln%286%5Ex%29 ALIGN=MIDDLE  ALT=\"ln%284%5E%283x-2%29%29=ln%286%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural 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=%283x-2%29%2Aln%284%29=x%2Aln%286%29 ALIGN=MIDDLE  ALT=\"%283x-2%29%2Aln%284%29=x%2Aln%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Aln%284%29-2%2Aln%284%29=x%2Aln%286%29 ALIGN=MIDDLE  ALT=\"3x%2Aln%284%29-2%2Aln%284%29=x%2Aln%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Aln%284%29=x%2Aln%286%29%2B2%2Aln%284%29 ALIGN=MIDDLE  ALT=\"3x%2Aln%284%29=x%2Aln%286%29%2B2%2Aln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aln%284%29 ALIGN=MIDDLE  ALT=\"2%2Aln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Aln%284%29-x%2Aln%286%29=2%2Aln%284%29 ALIGN=MIDDLE  ALT=\"3x%2Aln%284%29-x%2Aln%286%29=2%2Aln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Aln%286%29 ALIGN=MIDDLE  ALT=\"x%2Aln%286%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%283%2Aln%284%29-ln%286%29%29=2%2Aln%284%29 ALIGN=MIDDLE  ALT=\"x%283%2Aln%284%29-ln%286%29%29=2%2Aln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%282%2Aln%284%29%29%2F%283%2Aln%284%29-ln%286%29%29 ALIGN=MIDDLE  ALT=\"x=%282%2Aln%284%29%29%2F%283%2Aln%284%29-ln%286%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=3%2Aln%284%29-ln%286%29 ALIGN=MIDDLE  ALT=\"3%2Aln%284%29-ln%286%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=1.17129021301953 ALIGN=MIDDLE  ALT=\"x=1.17129021301953\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use a calculator to evaluate the right hand side (RHS)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.1713 ALIGN=MIDDLE  ALT=\"x=1.1713\"   DISABLED_style= \"max-width:90%; height:auto;\" > Round to 4 decimal places </SPAN>\n" );
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