document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034654>Question 1034654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stuck on 4 problems.  If someone could explain these I would be very grateful.<BR>\n" );
document.write( "1.  Express ex=5.7 in terms of natural logarithms or common logarithms to a decimal approximation, of two decimal places, for the solution.\r<BR>\n" );
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document.write( "2.  Evaluate in fraction form without using a calculator: Log7 &#8730;7\r<BR>\n" );
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document.write( "3.  Write this equation in its equivalent logarithmic form: 3&#8730;8 = 2\r<BR>\n" );
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document.write( "4.  Find the domain of this logarithmic function:  f(x)=In(x-2)2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649300 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Express ex=5.7 in terms of natural logarithms or common logarithms to a decimal approximation, of two decimal places, for the solution.<BR>\n" );
document.write( "e^x=5.7<BR>\n" );
document.write( "take ln of both sides to give:<BR>\n" );
document.write( "ln(e^x)=ln(5.7)<BR>\n" );
document.write( "x = ln(5.7)<BR>\n" );
document.write( "plug into calculator to get:<BR>\n" );
document.write( "x = 1.74  (answer)<BR>\n" );
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document.write( "2. Evaluate in fraction form without using a calculator: Log7 &#8730;7<BR>\n" );
document.write( "Log7(&#8730;7)<BR>\n" );
document.write( "write &#8730;7 in exponent form<BR>\n" );
document.write( "Log7(7^(1/2))<BR>\n" );
document.write( "1/2  (answer)<BR>\n" );
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document.write( "3. Write this equation in its equivalent logarithmic form: 3&#8730;8 = 2<BR>\n" );
document.write( "I'm assuming the left side is the \"cube root of 8\"<BR>\n" );
document.write( "3&#8730;8 = 2<BR>\n" );
document.write( "8^(1/3) = 2<BR>\n" );
document.write( "1/3 = Log8(2)  (that's log base 8 on the right side)<BR>\n" );
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document.write( "4. Find the domain of this logarithmic function: f(x)=In(x-2)2 <BR>\n" );
document.write( "\"domain\" defines all possible values of that you can use for f(x)<BR>\n" );
document.write( "since we cannot take the ln of zero or a negative number<BR>\n" );
document.write( "Domain is:<BR>\n" );
document.write( "x >= 0 (that is x must be greater than or equal to zero)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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