document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145749>Question 1145749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	Calculate the value of x where the function\r<BR>\n" );
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document.write( "y=f(x)=1,822.8×(1.4^x )\r<BR>\n" );
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document.write( "This will predict the transistor value f(x)=406,500,000,000.\r<BR>\n" );
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document.write( "Final answer (x)<BR>\n" );
document.write( "Round off the final answer to the nearest whole value.<BR>\n" );
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document.write( "What is the exact year?<BR>\n" );
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document.write( "Show your work below using Equation Editor:\r<BR>\n" );
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document.write( "I tried to calculate the value of x function: y = f(x) = 1,822.8 x (1.4x) and I tried to solve for x, and I got 2 = |3x|<BR>\n" );
document.write( "|2y| + 3 = 2 + 3<BR>\n" );
document.write( "-2 (y+2) = 2 - y\r<BR>\n" );
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document.write( "I'm not sure if this is correct, so I wanted to know if I could have a second opinion on this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766999 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the function is y = 1822.8 * 1.4^x<BR>\n" );
document.write( "when y = 406,500,000,000 = 4.065 * 10^11, the formula becomes 4.065 * 10^11 = 1822.8 * 1.4 ^ x<BR>\n" );
document.write( "divide both sides of the equation by 1822.8 to get:<BR>\n" );
document.write( "4.065 * 10^11 / 1822.8 = 1.4 ^ x<BR>\n" );
document.write( "take the log of both sides of the equation to get:<BR>\n" );
document.write( "log(4.065 * 10^11 / 1822.8) = log (1.4^x) = x * log(1.4)<BR>\n" );
document.write( "divide both sides of the equation by log(1.4) to get:<BR>\n" );
document.write( "log(4.065 * 10^11 / 1822.8) / log(1.4) = x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 57.13018375<BR>\n" );
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