document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586189>Question 586189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4e^x+2=32\r<BR>\n" );
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document.write( "ln(5x-3)^1/3=2\r<BR>\n" );
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document.write( "2x^(3x-2)+4=16\r<BR>\n" );
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document.write( "2e^(x-2)=e^x+7\r<BR>\n" );
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document.write( "1/3lnx+ln2-ln3=3\r<BR>\n" );
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document.write( "ln(x+2)-ln4=3\r<BR>\n" );
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document.write( "Hello. Thank you for your time. I have a test and Im practicing on these problems, but I keep getting something wrong. Can you work them out please? Thank you sooo much!!! =) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373811 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4e^x + 2 = 32<BR>\n" );
document.write( "4e^x  = 32 - 2<BR>\n" );
document.write( "4e^x = /4<BR>\n" );
document.write( "e^x = 7.5<BR>\n" );
document.write( "use nat logs here<BR>\n" );
document.write( "ln(e^x) = ln(7.5)<BR>\n" );
document.write( "the log equiv of exponents<BR>\n" );
document.write( "x*ln(e) = ln(7.5)<BR>\n" );
document.write( "ln of e is 1 therefore<BR>\n" );
document.write( "x = ln(7.5}<BR>\n" );
document.write( "x = 2.015<BR>\n" );
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document.write( "ln(5x-3)^1/3 = 2<BR>\n" );
document.write( "Cube both sides<BR>\n" );
document.write( "ln(5x-3) = 2^3<BR>\n" );
document.write( "ln(5x-3) = 8<BR>\n" );
document.write( "find the anti-log of both sides (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex ALIGN=MIDDLE  ALT=\"e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "5x - 3 = 2981<BR>\n" );
document.write( "5x = 2981 + 3<BR>\n" );
document.write( "x = 2984/5<BR>\n" );
document.write( "x = 596.8<BR>\n" );
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document.write( "2x^(3x-2) + 4 = 16<BR>\n" );
document.write( "2x^(3x-2) = 16 - 4<BR>\n" );
document.write( "2x^(3x-2) = 12<BR>\n" );
document.write( "x^(3x-2) = 12/2<BR>\n" );
document.write( "x^(3x-2) = 6<BR>\n" );
document.write( "use common logs<BR>\n" );
document.write( "log(x^(3x-2)) = log(6)<BR>\n" );
document.write( "(3x-2)log(x) = .778<BR>\n" );
document.write( "log(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.778%2F%28%283x-2%29%29 ALIGN=MIDDLE  ALT=\".778%2F%28%283x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's about all I can do with this<BR>\n" );
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document.write( "2e^(x-2) = e^x + 7<BR>\n" );
document.write( "2e^(x-2) - e^x = 7<BR>\n" );
document.write( "I don't think there is a solution here<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >ln(x) + ln(2) - ln(3) = 3<BR>\n" );
document.write( "ln(x^(1/3)) + ln(2) - ln(3) = 3<BR>\n" );
document.write( "combine as a single log<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%282x%5E%281%2F3%29%29%2F3%29 ALIGN=MIDDLE  ALT=\"ln%28%282x%5E%281%2F3%29%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "find the antilog (e^10) of 3, gets rid of ln<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E%281%2F3%29%29%2F3%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E%281%2F3%29%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20.0855<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"2x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3(20.0855)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"2x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 60.2566<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60.2566%2F2 ALIGN=MIDDLE  ALT=\"60.2566%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ";<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30.1283<BR>\n" );
document.write( "Cube both sides:<BR>\n" );
document.write( "x = 30.1283^3<BR>\n" );
document.write( "x ~ 27348 </SPAN>\n" );
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