document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200246>Question 200246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HI all, I need some help with the following problems. I dont expect answers to all of them, but if someone can give me 1 or more with explanations that would be great. I need to Solve the following 3 seperate equations for x<BR>\n" );
document.write( "1. x = 2^x+1 = 27<BR>\n" );
document.write( "2. x = 4x+2 = 256<BR>\n" );
document.write( "3. x = 42x+2 = 256\r<BR>\n" );
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document.write( "All 3 are seperate and need seperate answers, if someone an give me some help il be very gratefull.<BR>\n" );
document.write( "-Nick </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150603 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=150603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following 3 separate equations for x<BR>\n" );
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document.write( "Assume you mean<BR>\n" );
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document.write( "1. <BR>\n" );
document.write( "2^x + 1 = 27<BR>\n" );
document.write( "2^x = 27 - 1<BR>\n" );
document.write( "2^x = 26<BR>\n" );
document.write( "using nat logs<BR>\n" );
document.write( "ln(2^x) = ln(26)<BR>\n" );
document.write( "use the log equiv of exponents<BR>\n" );
document.write( "x*ln(2) = ln(26)<BR>\n" );
document.write( ".693x = 3.358<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.358%2F.693 ALIGN=MIDDLE  ALT=\"3.358%2F.693\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 4.7<BR>\n" );
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document.write( "Check solution on calc; enter:<BR>\n" );
document.write( "2^4.7 + 1 = 26.99 ~ 27<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( " 4x + 2 = 256<BR>\n" );
document.write( "4x = 256 - 2<BR>\n" );
document.write( "4x = 254<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=254%2F4 ALIGN=MIDDLE  ALT=\"254%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 63.5<BR>\n" );
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document.write( "Check solution on a calc, enter<BR>\n" );
document.write( "4(63.5) + 2 = 256<BR>\n" );
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document.write( "3.<BR>\n" );
document.write( "42x + 2 = 256<BR>\n" );
document.write( "42x = 256 - 2<BR>\n" );
document.write( "42x = 254<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=254%2F42 ALIGN=MIDDLE  ALT=\"254%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F42 ALIGN=MIDDLE  ALT=\"2%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F21 ALIGN=MIDDLE  ALT=\"1%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Check solution on a calc; decimal x = 6.0761<BR>\n" );
document.write( "42(6.04761) + 2 = 255.999 ~ 256 </SPAN>\n" );
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