document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139283>Question 1139283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:\r<BR>\n" );
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document.write( "1)  5^2X^2^+^3X=25\r<BR>\n" );
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document.write( "2)  3^-X=7^X+^2\r<BR>\n" );
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document.write( "3)  250000=100000(1+.06/12)^12(t) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #757073 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=757073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "1)  5^2X^2^+^3X=25<br><BR>\n" );
document.write( "The sequence of characters \"X^2+^\" has no meaning.<BR>\n" );
document.write( "The sequence of characters \"+^3\" has no meaning.<br><BR>\n" );
document.write( "2)  3^-X=7^X+^2<br><BR>\n" );
document.write( "The sequence of characters \"+^2\" has no meaning.<br><BR>\n" );
document.write( "3)  250000=100000(1+.06/12)^12(t)<br><BR>\n" );
document.write( "The equation as you show it is solved by ordinary arithmetic....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250000=100000%281%2B.06%2F12%29%5E12%28t%29 ALIGN=MIDDLE  ALT=\"250000=100000%281%2B.06%2F12%29%5E12%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The value of t is 250000, divided by the product of 100000 and (1+.06/12)^12.<br><BR>\n" );
document.write( "Surely you meant<br><BR>\n" );
document.write( "3)  250000=100000(1+.06/12)^(12t)<br><BR>\n" );
document.write( "This is now an equation for finding the number of years t that it takes 100000 to increase to 250000 at 6% compounded monthly.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250000=100000%281%2B.06%2F12%29%5E%2812t%29 ALIGN=MIDDLE  ALT=\"250000=100000%281%2B.06%2F12%29%5E%2812t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5+=+%281.005%29%5E%2812t%29 ALIGN=MIDDLE  ALT=\"2.5+=+%281.005%29%5E%2812t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The variable is in the exponent; you need to take logs of both sides.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%282.5%29%29+=+%2812t%29%2Alog%28%281.005%29%29 ALIGN=MIDDLE  ALT=\"log%28%282.5%29%29+=+%2812t%29%2Alog%28%281.005%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12t+=+log%28%282.5%29%29%2Flog%28%281.005%29%29 ALIGN=MIDDLE  ALT=\"12t+=+log%28%282.5%29%29%2Flog%28%281.005%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use a calculator.... </SPAN>\n" );
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