document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205889>Question 1205889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I am stuck on how to find the x and y intercepts of this equation <BR>\n" );
document.write( "The equation goes:<BR>\n" );
document.write( "H(x)= logbase2(x+8)<BR>\n" );
document.write( "Thank you so much!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842971 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52906)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "                 (a)  <U>x- intercept</U>\r\n" );
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document.write( "To find x-intercept, we should solve this equation\r\n" );
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document.write( "    H(x) = 0,  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28x%2B8%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%28x%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.\r\n" );
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document.write( "For any base logarithm, b,  if  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28a%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0,  then  a= 1.\r\n" );
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document.write( "In our case, it gives  x+8 = 1,  which implies  x= 1 - 8 = -7.    <U>ANSWER</U>\r\n" );
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document.write( "                 (b)  <U>y- intercept</U>\r\n" );
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document.write( "To find y-intercept, we should calculate H(0), placing x= 0:\r\n" );
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document.write( "    H(0) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%280%2B8%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%280%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%288%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.    <U>ANSWER</U>\r\n" );
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document.write( "At this point, the problem is just solved in full.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "It is not necessary to make change the logarithm base, &nbsp;as the other tutor does.\r<BR>\n" );
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document.write( "In opposite, &nbsp;it is simpler and it is &nbsp;MORE &nbsp;CORRECT &nbsp;WAY &nbsp;to complete the solution without changing the logarithm base.\r<BR>\n" );
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document.write( "Warning: &nbsp;&nbsp;if in this problem you will make change of the logarithm base,<BR>\n" );
document.write( "your teacher will conclude immediately that you do not know basics of logarithms.\r<BR>\n" );
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document.write( "On logarithms and their properties, &nbsp;see these introductory lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/what-is-the-logarithm.lesson>WHAT IS the logarithm</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/Properties-of-the-logarithm.lesson>Properties of the logarithm</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/change-of-base-formula-for-logarithms.lesson>Change of Base Formula for logarithms</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/logarithm/Evaluate-logarithms-without-using-a-calculator.lesson>Evaluate logarithms without using a calculator</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/logarithm/Simplifying-expressions-with-logarithms.lesson>Simplifying expressions with logarithms</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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