document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035581>Question 1035581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve for t without using logs<BR>\n" );
document.write( "(1.46)^t=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650223 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=650223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe logs were invented to spare you the trouble of having to do that without them.<BR>\n" );
document.write( "using logs, your solution is done very simply.<BR>\n" );
document.write( "(1.46)^t = 5 if and only if log1.46(5) = t<BR>\n" );
document.write( "you would then use the log function of your calculator to get:<BR>\n" );
document.write( "log(5) / log(1.46) = t<BR>\n" );
document.write( "you would then solve for t to get t = 4.252861935.<BR>\n" );
document.write( "you would then determine that 1.46^4.252861935 is equal to 5.\r<BR>\n" );
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document.write( "without logs, you would more then likely have to find the answer through iteration.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "1.46^4 = 4.54371856<BR>\n" );
document.write( "1.46^5 = 6.33829098<BR>\n" );
document.write( "1.46^4.5 = 5.490196025.<BR>\n" );
document.write( "1.46^4.25 = 4.994587628<BR>\n" );
document.write( "1.46^4.26 = 5.013524778\r<BR>\n" );
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document.write( "you would keep iterating until you arrived at a solution that was within the degree of accuracy required, such as the answer is between 4.99999 and 5.00001.\r<BR>\n" );
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document.write( "at a minimum, you would need a calculator that allows you to perform these types of calculations.\r<BR>\n" );
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document.write( "more then likely, you would write a software program that did all the iterations for you and gave you the answer within the accuracy that you desired.\r<BR>\n" );
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document.write( "outside of that, i have no idea how you would solve a problem like that without the use of logs. </SPAN>\n" );
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