document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130513>Question 130513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1<BR>\n" );
document.write( "Find the value of x for the following logarithm functions:<BR>\n" );
document.write( "a) log2 16^x + log2 8 = -½<BR>\n" );
document.write( "b) log3 x^2 + log3 4 = log 1\r<BR>\n" );
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document.write( "QUESTION 2<BR>\n" );
document.write( "The revenue function of a company is R = 36q – 2q², where p represent the price per unit of the good and q represent the quantity demanded. Find the maximum value of the revenue for the revenue function given\r<BR>\n" );
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document.write( "QUESTION 3<BR>\n" );
document.write( "The intersection point between two straight lines is (3,0), where the slope is given as below:<BR>\n" );
document.write( "M1 = -2 dan M2 = 1<BR>\n" );
document.write( "Find the equation for each of the two straight lines.\r<BR>\n" );
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document.write( "QUESTION 4<BR>\n" );
document.write( "Find the average total profit if total revenue function is R(x) = x^2 – 50x and total cost function is C(x) = 100 – 30x\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95308 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=95308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The intersection point between two straight lines is (3,0), where the slope is given as below:<BR>\n" );
document.write( "M1 = -2 and  M2 = 1<BR>\n" );
document.write( "Find the equation for each of the two straight lines.<BR>\n" );
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document.write( "Line form: y = mx + b<BR>\n" );
document.write( "If m1 = -2 and the line passes thru (3,0)<BR>\n" );
document.write( "0 = -2*3 + b<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "EQUATION is y = -2x + 6<BR>\n" );
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document.write( "If m2 = 1 and the line passes thru (3,0),<BR>\n" );
document.write( "0 = 1*3+b<BR>\n" );
document.write( "b = -3<BR>\n" );
document.write( "EQUATION is y = x -3<BR>\n" );
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document.write( "QUESTION 4<BR>\n" );
document.write( "Find the average total profit if total revenue function is R(x) = x^2 – 50x and total cost function is C(x) = 100 – 30x <BR>\n" );
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document.write( "Profit = Revenue - Cost<BR>\n" );
document.write( "Profit = x^2-50x - (100-30x)<BR>\n" );
document.write( "P(x) = x^2-20x-100<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "The revenue function of a company is R = 36q – 2q², where p represent the price per unit of the good and q represent the quantity demanded. Find the maximum value of the revenue for the revenue function given.<BR>\n" );
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document.write( "Max occurs where q = -b/2a = -36/2*-2 = 9<BR>\n" );
document.write( "R(9) = 36*9-2*9^2 = 162<BR>\n" );
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document.write( "QUESTION 5 <BR>\n" );
document.write( "Find the value of x for the following logarithm functions:<BR>\n" );
document.write( "a) log2 16^x + log2 8 = -½<BR>\n" );
document.write( "log2 2^4x + log3 2^3 = <BR>\n" );
document.write( "4x+3 = -1/2<BR>\n" );
document.write( "8x+6 = = -1<BR>\n" );
document.write( "8x = -7<BR>\n" );
document.write( "x = -7/8<BR>\n" );
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document.write( "b) log3 x^2 + log3 4 = log3 1<BR>\n" );
document.write( "log2 [4x^2] = log3 1<BR>\n" );
document.write( "4x^2 = 1<BR>\n" );
document.write( "x^2 = 1/4<BR>\n" );
document.write( "x = 1/2 or x = -1/2<BR>\n" );
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