document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88350>Question 88350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Topic #2\r<BR>\n" );
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document.write( "i try this problem but i think i havnt get them the right way i even show it <BR>\n" );
document.write( "to my sister but she do not how to do it so i think that you the only person <BR>\n" );
document.write( "that could help\r<BR>\n" );
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document.write( "1.   Answer the following questions for each of the functions below:<BR>\n" );
document.write( "  Find the domain and range of the function.<BR>\n" );
document.write( "  Name two coordinates on the graph of the function.<BR>\n" );
document.write( "  How does the graph behave as x increases?<BR>\n" );
document.write( "  Write the equation of the vertical asymptote in the graph of the function.<BR>\n" );
document.write( "  Graph the function by hand, and check your result with your calculator.\r<BR>\n" );
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document.write( "  a. y=1+log3x        b.y=log1/4x\r<BR>\n" );
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document.write( "        c. y=ln(x-1)         d.2 ln(x)-1\r<BR>\n" );
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document.write( "  2.  Rewrite the following expressions using a single logarithm.\r<BR>\n" );
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document.write( "         a. log(3x)+2log(y)-log(z-1)         <BR>\n" );
document.write( "b.1/3ln(h)-log2(k)+ln(4m^2)\r<BR>\n" );
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document.write( "3.   Using the function given in this lesson,p(h)=-log(h) , answer the <BR>\n" );
document.write( "following questions:\r<BR>\n" );
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document.write( "a.   What is the pH value of a solution with 0.004 mole of hydrogen ion?<BR>\n" );
document.write( "b.   What is the concentration of hydrogen ions of a solution with a pH of <BR>\n" );
document.write( "7.2?\r<BR>\n" );
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document.write( "topic#3\r<BR>\n" );
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document.write( "1.   Using the function given in Topic #2, p(h)=-log(h) , what is the <BR>\n" );
document.write( "concentration of hydrogen ions of a solution with a pH of 7.2?  Use the <BR>\n" );
document.write( "techniques you learned in this lesson to solve this problem, and check it <BR>\n" );
document.write( "with your answer to #3 in your homework assignment for Topic #2.\r<BR>\n" );
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document.write( "2.   Using the function M(x)=log(1000x),find the number of millimeters the <BR>\n" );
document.write( "seismic reading is 100 km from the center of an earthquake that measures 4.1 <BR>\n" );
document.write( "on the Richter scale.\r<BR>\n" );
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document.write( "3.   Solve the following equations, using the definition of logarithms:\r<BR>\n" );
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document.write( "  a.lne^-3x=9       b.logx9=2<BR>\n" );
document.write( "  c.log1/2(x-3)=-4       d.ln(x+1)-lnx=2\r<BR>\n" );
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document.write( "topic4\r<BR>\n" );
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document.write( "1.   You invest $6000 into an account paying 3.75% annual interest compounded <BR>\n" );
document.write( "bimonthly, and you want to have $10,000 saved for your first year of <BR>\n" );
document.write( "college.\r<BR>\n" );
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document.write( "  a.  How long will it take for your investment to grow that large?  Solve <BR>\n" );
document.write( "this   algebraically,  and then check your answer graphically.\r<BR>\n" );
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document.write( "  b.  You have a choice to invest your money into an account paying 3.5% <BR>\n" );
document.write( "annual interest, compounded continuously.  Should you choose this account <BR>\n" );
document.write( "over the other one?  Why?\r<BR>\n" );
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document.write( "2.   You’re cooking some spaghetti noodles in a pot, and you just turned off <BR>\n" );
document.write( "the stove.  Right when you turned the stove off, your pot was 215ºF.  Ten <BR>\n" );
document.write( "minutes later, your pot is 150ºF, and the temperature of your kitchen is <BR>\n" );
document.write( "76ºF.  (You do not remove the pot from the stove.)\r<BR>\n" );
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document.write( "a.   Write an equation that represents the temperature of the pot with <BR>\n" );
document.write( "respect to time, and graph your function.  Write the equation of the <BR>\n" );
document.write( "horizontal asymptote of your graph, and interpret what it represents in the <BR>\n" );
document.write( "context of this problem.\r<BR>\n" );
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document.write( "b.  When will the temperature of the pot be 90ºF?  (Find your answer <BR>\n" );
document.write( "algebraically.)\r<BR>\n" );
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document.write( "c.  Use your graph and calculator to verify that your answer to part b) is <BR>\n" );
document.write( "correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64232 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This looks like either a take-home test or a very LONG assignment!!  We at algebra.com like to help students with their homework!  However, we do NOT want to DO your homework for you, and we will NOT knowingly take a take-home test for you.  Please--only one or two questions at a time!  We do NOT get paid for this!!\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired </SPAN>\n" );
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