document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=724595>Question 724595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=1/5 log(base3)(9x-36)^(15) - 13<BR>\n" );
document.write( "Apply the laws of logarithms to change the form of the equation. Graph the function by first stating the basic function and then describe each transformation applied in order. Specifically describe what happens to the domain, range, asymptotes, x-intercept, and vertical stretch or compression.\r<BR>\n" );
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document.write( "I have a problem with this. What i have tried already:<BR>\n" );
document.write( "y= -7 -3log(base3)(x-4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443850 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=443850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  y=1/5 log(base3)(9x-36)^(15) - 13<BR>\n" );
document.write( "Apply the laws of logarithms to change the form of the equation.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "y = log3(9x-36)^3 - 13<BR>\n" );
document.write( "--<BR>\n" );
document.write( " Graph the function by first stating the basic function and then describe each transformation applied in order. Specifically describe what happens to the domain, range, asymptotes, x-intercept, and vertical stretch or compression.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Before Transformation:<BR>\n" );
document.write( "y = log3(x)<BR>\n" );
document.write( "Domain: x > 0<BR>\n" );
document.write( "Range: All Real Numbers<BR>\n" );
document.write( "Asymp: x = 0<BR>\n" );
document.write( "x-int: log3(x) = 0<BR>\n" );
document.write( "x = 3*0 = 1<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "stretch or compress: none<BR>\n" );
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document.write( "After Transformation::<BR>\n" );
document.write( "Domain: x > 4<BR>\n" );
document.write( "Range: All Real Numbers<BR>\n" );
document.write( "Asymp: x = 4<BR>\n" );
document.write( "x-int: Let y = 0 ; solve for \"x\" <BR>\n" );
document.write( "(9x-36)^3 = 3^13<BR>\n" );
document.write( "9x-36 = 3^(13/3) = 116.82<BR>\n" );
document.write( "9x = 152.82<BR>\n" );
document.write( "x = 16.98<BR>\n" );
document.write( "Stretch: Around 30<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C20%2C-10%2C150%2Cln%28x%29%2Fln%283%29%2C%28ln%289x-36%29%5E3%29%2Fln%283%29-13%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "========================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );