document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106244>Question 1106244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for t algebraically. Round answers to the nearest hundredth.\r<BR>\n" );
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document.write( "100(1/2)^t/5 = 20\r<BR>\n" );
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document.write( "So,I know you divide the whole equation by 100,which leaves me with,\r<BR>\n" );
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document.write( "(1/2)^t/5 = 1/5\r<BR>\n" );
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document.write( "Then I take the log of each side, my book tells me to use ln, so I end up with\r<BR>\n" );
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document.write( "ln(1/2)^t/5 = ln 1/5\r<BR>\n" );
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document.write( "Move t/5 over, now I get\r<BR>\n" );
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document.write( "t/5 ln(1/2) = ln 1/5\r<BR>\n" );
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document.write( "Multiply everything by 5\r<BR>\n" );
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document.write( "t ln(1/2) = 5 ln 1/5\r<BR>\n" );
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document.write( "Is that correct? I've tried everything I can think of, yet I still get the wrong answer. Would you please help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721194 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for t algebraically. Round answers to the nearest hundredth.\r<BR>\n" );
document.write( "\n" );
document.write( "100(1/2)^t/5 = 20\r<BR>\n" );
document.write( "\n" );
document.write( "So,I know you divide the whole equation by 100,which leaves me with,\r<BR>\n" );
document.write( "\n" );
document.write( "(1/2)^t/5 = 1/5\r<BR>\n" );
document.write( "\n" );
document.write( "Then I take the log of each side, my book tells me to use ln, so I end up with\r<BR>\n" );
document.write( "\n" );
document.write( "ln((1/2)^t/5) = ln 1/5\r<BR>\n" );
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document.write( "Move t/5 over, now I get\r<BR>\n" );
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document.write( "t/5 ln(1/2) = ln(1/5)<BR>\n" );
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document.write( "t/5 = ln(1/5)/ln(1/2)\r<BR>\n" );
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document.write( "Multiply everything by 5<BR>\n" );
document.write( "t = 5ln(1/5)/ln(1/2)<BR>\n" );
document.write( "Then use a calculator.<BR>\n" );
document.write( "t =~ 11.61\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );