document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=483270>Question 483270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I had asked two problems a few days ago and have had no response here they are again<BR>\n" );
document.write( "1. If possible evaluate g(t)for the given values of t<BR>\n" );
document.write( "   g(t)=2t^3 - t^2 + 4<BR>\n" );
document.write( "2. log2 2^6<BR>\n" );
document.write( "I need help with these and they need detailed answers please help  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330747 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=330747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. If possible evaluate g(t)for the given values of t<BR>\n" );
document.write( "g(t)=2t^3 - t^2 + 4\r<BR>\n" );
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document.write( "you did not give any values of t so i wouldn't know how to answer question 1.<BR>\n" );
document.write( "the procedure, however, would be the same as shown below:\r<BR>\n" );
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document.write( "equation g(t) = 2t^3 - t^2 + 4<BR>\n" );
document.write( "solve for t = 3<BR>\n" );
document.write( "the equation becomes:<BR>\n" );
document.write( "g(3) = 2*(3)^3 - (3)^2 + 4<BR>\n" );
document.write( "all you're doing is replacing t with 3 in the equation.<BR>\n" );
document.write( "the answer, in that case, would be:<BR>\n" );
document.write( "g(3) = 2*27 - 9 + 4 which becomes:<BR>\n" );
document.write( "g(3) = 54 - 5 which becomes:<BR>\n" );
document.write( "g(3) = 49\r<BR>\n" );
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document.write( "2. log(2,2^6)\r<BR>\n" );
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document.write( "you are looking to find the log of 2^6 to the base of 2.<BR>\n" );
document.write( "since, in general, log(a^b) = b*log(a), your expression becomes:<BR>\n" );
document.write( "6 * log(2,2)\r<BR>\n" );
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document.write( "to find 6 * log(2,2), you can use your calculator by converting the base of 2 to the base of 10 using the logarithm base conversion formula shown below.\r<BR>\n" );
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document.write( "6 * log(2,2) = 6 * ((log(10,2) / log(10,2))\r<BR>\n" );
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document.write( "the general formula is:\r<BR>\n" );
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document.write( "log(a,b) = log(c,b) / log(c,a)<BR>\n" );
document.write( "a is the base you want to convert from.<BR>\n" );
document.write( "c is the base you want to convert to.<BR>\n" );
document.write( "b is the log value you are looking to solve for.<BR>\n" );
document.write( "the expression of log of b to the base a is converted to:<BR>\n" );
document.write( "log of b to the base c divided by log of a to the base c.\r<BR>\n" );
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document.write( "this allows you to use the LOG function of your calculator.\r<BR>\n" );
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document.write( "the formula becomes:\r<BR>\n" );
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document.write( "6 * log(2,2) = 6 * (LOG(2) / LOG(2)).\r<BR>\n" );
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document.write( "the answer is 6 * 1 because anything divided by itself is equal to 1.\r<BR>\n" );
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document.write( "your final answer is 6.\r<BR>\n" );
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document.write( "you would want to confirm your answer to make sure it's correct.<BR>\n" );
document.write( "the basic definition of logs states:<BR>\n" );
document.write( "y = log(b,x) if and only if b^y = x<BR>\n" );
document.write( "your original expression is:<BR>\n" );
document.write( "log(2,2^6)<BR>\n" );
document.write( "set y equal to this to get:<BR>\n" );
document.write( "y = log(2,2^6)<BR>\n" );
document.write( "set x equal to 2^6 to get:<BR>\n" );
document.write( "y = log(2,x)<BR>\n" );
document.write( "set b equal to 2 to get:<BR>\n" );
document.write( "y = log(b,x)<BR>\n" );
document.write( "the basic definition of logarithms states that:<BR>\n" );
document.write( "y = log(b,x) if and only if b^y = x<BR>\n" );
document.write( "now, you know that b is equal to 2 and you know that x = 2^6, so this equation becomes:<BR>\n" );
document.write( "2^y = 2^6<BR>\n" );
document.write( "this equation is true if y = 6 because then you get:<BR>\n" );
document.write( "2^6 = 2^6 which is true.<BR>\n" );
document.write( "6 is the answer to your question.<BR>\n" );
document.write( "log(2,2^6) = 6<BR>\n" );
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