document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27874>Question 27874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this problem\r<BR>\n" );
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document.write( "Solve for x\r<BR>\n" );
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document.write( " Ln ( 5-x)=12<BR>\n" );
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document.write( "         <BR>\n" );
document.write( "       </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15195 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x <BR>\n" );
document.write( "Ln ( 5-x)=12<BR>\n" );
document.write( "By  definition  the logarithm of a number to a given base <BR>\n" );
document.write( "is the power to which the base has to be raised to give the number<BR>\n" );
document.write( "logb(N) = p   by  definition is     N= (b)^p<BR>\n" );
document.write( "In the problem N=(5-x), b= e, the Naperian base and p =12<BR>\n" );
document.write( "Therefore  Loge(5-x) = 12<BR>\n" );
document.write( "(5-x)= e^12<BR>\n" );
document.write( "5-e^12 = x <BR>\n" );
document.write( "Answer:   x = ( 5-e^12 )<BR>\n" );
document.write( "Verification: <BR>\n" );
document.write( "log(5-x) = log[5-( 5-e^12 )] <BR>\n" );
document.write( "= log[5-5+e^12] <BR>\n" );
document.write( "= log(0+e^12) <BR>\n" );
document.write( "= log(e^12) <BR>\n" );
document.write( "=12(loge) <BR>\n" );
document.write( "= 12X1  (as loge to the same base e is 1)<BR>\n" );
document.write( "=12 which is correct\r<BR>\n" );
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document.write( "Note: If the base is the common base 10, then we have<BR>\n" );
document.write( "Loge(5-x) = 12 giving<BR>\n" );
document.write( "(5-x)= 10^12<BR>\n" );
document.write( "5-10^12 = x <BR>\n" );
document.write( "Answer:   x = ( 5-10^12 )<BR>\n" );
document.write( "Verification: <BR>\n" );
document.write( "log(5-x) = log[5-( 5-10^12 )] <BR>\n" );
document.write( "= log[5-5+10^12] <BR>\n" );
document.write( "= log(0+10^12) <BR>\n" );
document.write( "= log(10^12) <BR>\n" );
document.write( "=12(log10) <BR>\n" );
document.write( "= 12X1  (as log10 to the same base 10 is 1)<BR>\n" );
document.write( "=12 which is correct </SPAN>\n" );
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