document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763448>Question 763448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> using the law of logarithms, solve for the following indicial equation for x each correct to three decimal places\r<BR>\n" );
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document.write( "4 to the power of 2x-1 = 5 to the power of x+2\r<BR>\n" );
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document.write( "4^2x-1 = 5^x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464824 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=464824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%282x-1%29+=+5%5E%28x%2B2%29 ALIGN=MIDDLE  ALT=\"4%5E%282x-1%29+=+5%5E%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the LOG of each side to get<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%2ALOG%284%29+=+%28x%2B2%29%2ALOG%285%29 ALIGN=MIDDLE  ALT=\"%282x-1%29%2ALOG%284%29+=+%28x%2B2%29%2ALOG%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2ALOG%284%29%2Ax+-+LOG%284%29+=+LOG%285%29%2Ax+%2B+2%2ALOG%285%29 ALIGN=MIDDLE  ALT=\"2%2ALOG%284%29%2Ax+-+LOG%284%29+=+LOG%285%29%2Ax+%2B+2%2ALOG%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2ALOG%284%29%2Ax+-+LOG%285%29%2Ax+=+LOG%284%29+%2B+2%2ALOG%285%29 ALIGN=MIDDLE  ALT=\"2%2ALOG%284%29%2Ax+-+LOG%285%29%2Ax+=+LOG%284%29+%2B+2%2ALOG%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28LOG%284%5E2%29-LOG%285%29%29%2Ax+=+LOG%284%29%2BLOG%285%5E2%29 ALIGN=MIDDLE  ALT=\"%28LOG%284%5E2%29-LOG%285%29%29%2Ax+=+LOG%284%29%2BLOG%285%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28LOG%2816%29-LOG%285%29%29%2Ax+=+LOG%284%29%2BLOG%2825%29 ALIGN=MIDDLE  ALT=\"%28LOG%2816%29-LOG%285%29%29%2Ax+=+LOG%284%29%2BLOG%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(7) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LOG%2816%2F5%29%2Ax+=+LOG%284%2A25%29 ALIGN=MIDDLE  ALT=\"LOG%2816%2F5%29%2Ax+=+LOG%284%2A25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(8) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LOG%283.2%29%2Ax+=+LOG%28100%29 ALIGN=MIDDLE  ALT=\"LOG%283.2%29%2Ax+=+LOG%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(9) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+LOG%28100%29%2FLOG%283.2%29 ALIGN=MIDDLE  ALT=\"x+=+LOG%28100%29%2FLOG%283.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "(10)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2F0.50515... ALIGN=MIDDLE  ALT=\"x+=+2%2F0.50515...\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <BR>\n" );
document.write( "(11) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3.959 ALIGN=MIDDLE  ALT=\"x+=+3.959\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To check put x of (11) into (1) and you will get<BR>\n" );
document.write( "(12) 14638 = 14638<BR>\n" );
document.write( "Answer: x = 3.959<BR>\n" );
document.write( " </SPAN>\n" );
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