document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159166>Question 159166</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/049555345X/algebrahomeworkh>Elementary and Intermediate Algebra: A Combined Approach </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> (a)  What is the difference between log x and ln x and how are they related?                           <BR>\n" );
document.write( "(b) Describe the graph of an increasing exponential function and the graph of a decreasing exponential function.       <BR>\n" );
document.write( "	(c) Describe the graph of a function and its inverse.  <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 #117321 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=117321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) What is the difference between log x and ln x and how are they related?<BR>\n" );
document.write( "log x is the exponent of 10 that gives you a certain number, like 10^2 = 100<BR>\n" );
document.write( "so log 100 = 2<BR>\n" );
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document.write( "ln x is the exponent of e= 2.18281828459... which gives you a certain number,<BR>\n" );
document.write( "like e^2 = 7.389056..., so ln 7.389056 = 2<BR>\n" );
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document.write( "(b) Describe the graph of an increasing exponential function and the graph of a decreasing exponential function.<BR>\n" );
document.write( "increasing: as x increases, y increases<BR>\n" );
document.write( "decreasing: as x increases, y decreases<BR>\n" );
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document.write( "(c) Describe the graph of a function and its inverse<BR>\n" );
document.write( "If (x,y) is a point of the function, (y,x) is a point of the inverse.<BR>\n" );
document.write( "The graphs are symmetric to the line y = x.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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