document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86198>Question 86198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with these exponential/logarithmic equations?<BR>\n" );
document.write( "a) solve 2^x=14<BR>\n" );
document.write( "b) solve 3^x+2=81<BR>\n" );
document.write( "c) solve log(x+8)= 1 + log(x-10)<BR>\n" );
document.write( "Thank you so much for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62309 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=62309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) solve 2^x=14<BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "xlog2 = log14<BR>\n" );
document.write( "x = [log14]/[log2] = 3.8074<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "b) solve 3^x+2=81<BR>\n" );
document.write( "Rewrite as:<BR>\n" );
document.write( "3^(x+2) = 3^4<BR>\n" );
document.write( "x+2 = 4<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "c) solve log(x+8)= 1 + log(x-10)<BR>\n" );
document.write( "Rewrite as:<BR>\n" );
document.write( "log(x+8)-log(x-10) = 1<BR>\n" );
document.write( "log[(x+8)/(x-10)] = 1<BR>\n" );
document.write( "Take the anti-log to get:<BR>\n" );
document.write( "(x+8)/(x-10) = 10<BR>\n" );
document.write( "x-8 = 10x-100<BR>\n" );
document.write( "9x= 92<BR>\n" );
document.write( "x= 10.22222...<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );