document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186664>Question 186664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i really need help on these problems.. thank you :)\r<BR>\n" );
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document.write( "describe how the graph of the function is related to the graph of its parent function.  <BR>\n" );
document.write( "y = 3^x-4    \r<BR>\n" );
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document.write( "Write the logarithmic expression as a single logarithm.<BR>\n" );
document.write( "log a - log ab\r<BR>\n" );
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document.write( "expand the logarithm<BR>\n" );
document.write( "log y^2/z\r<BR>\n" );
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document.write( "write the experssion as a single natural log<BR>\n" );
document.write( "5 ln a + 3 ln b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139935 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=139935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first two to get you going in the right direction.\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "I'm assuming that the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5Ex-4 ALIGN=MIDDLE  ALT=\"y=3%5Ex-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The parent function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5Ex ALIGN=MIDDLE  ALT=\"y=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > which looks like \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C3%5Ex%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5Ex ALIGN=MIDDLE  ALT=\"y=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5Ex-4 ALIGN=MIDDLE  ALT=\"y=3%5Ex-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is simply the parent function shifted down 4 units like this  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C3%5Ex%2C3%5Ex-4%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5Ex ALIGN=MIDDLE  ALT=\"y=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5Ex-4 ALIGN=MIDDLE  ALT=\"y=3%5Ex-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green)\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28a%29%29-log%2810%2C%28ab%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28a%29%29-log%2810%2C%28ab%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28a%2F%28ab%29%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28a%2F%28ab%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28cross%28a%29%2F%28cross%28a%29%2Ab%29%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28cross%28a%29%2F%28cross%28a%29%2Ab%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%281%2Fb%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%281%2Fb%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28a%29%29-log%2810%2C%28ab%29%29=log%2810%2C%281%2Fb%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28a%29%29-log%2810%2C%28ab%29%29=log%2810%2C%281%2Fb%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%3E0 ALIGN=MIDDLE  ALT=\"b%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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