document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121224>Question 121224</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0536980179/algebrahomeworkh>Beginning and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help! I need to be able to do this type of problem for my Chemistry II class and its been a little while since I've had this type of math...\r<BR>\n" );
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document.write( "((1.8*10^-3)/(9.0*10^-4))^X = ((6.4*10^-1)/(8.0*10^-2))\r<BR>\n" );
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document.write( "In case this is confusing the way it is written out, on the left side of the equation the entire division problem is raised to the power of x. \r<BR>\n" );
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document.write( "I know this is a quadratic problem, where I have to get to ax^2 + bx + c = 0, then go on and plug the numbers into the quadratic formula. I'm having trouble getting it into this form though. The professor said that the final answer is 3, but I havent been able to get that on my own. I'd appreciate if anyone could give me a step-by-step explanation of how to do this, so that I can go on to do the other similar problems on my own. Thanks a lot! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88952 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=88952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well in this case, you do not need the quadratic formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281.8%2A10%5E-3%29%2F%289.0%2A10%5E-4%29%29%5Ex+=+%28%286.4%2A10%5E-1%29%2F%288.0%2A10%5E-2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.2%2A10%29%5Ex+=+%28%286.4%2A10%5E-1%29%2F%288.0%2A10%5E-2%29%29+ ALIGN=MIDDLE  ALT=\"%280.2%2A10%29%5Ex+=+%28%286.4%2A10%5E-1%29%2F%288.0%2A10%5E-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.8%2F9.0 ALIGN=MIDDLE  ALT=\"1.8%2F9.0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2 ALIGN=MIDDLE  ALT=\"0.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Also, divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-3%2F10%5E-4 ALIGN=MIDDLE  ALT=\"10%5E-3%2F10%5E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-3%2F10%5E-4=10%5E%28-3-%28-4%29%29=10%5E%28-3%2B4%29=10%5E1=10 ALIGN=MIDDLE  ALT=\"10%5E-3%2F10%5E-4=10%5E%28-3-%28-4%29%29=10%5E%28-3%2B4%29=10%5E1=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex+=+%28%286.4%2A10%5E-1%29%2F%288.0%2A10%5E-2%29%29+ ALIGN=MIDDLE  ALT=\"2%5Ex+=+%28%286.4%2A10%5E-1%29%2F%288.0%2A10%5E-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 0.2 and 10 to get 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex+=+%280.8%2A10%29+ ALIGN=MIDDLE  ALT=\"2%5Ex+=+%280.8%2A10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.4%2F8.0 ALIGN=MIDDLE  ALT=\"6.4%2F8.0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.8 ALIGN=MIDDLE  ALT=\"0.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Also, divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-1%2F10%5E-2 ALIGN=MIDDLE  ALT=\"10%5E-1%2F10%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-1%2F10%5E-2=10%5E%28-1-%28-2%29%29=10%5E%28-1%2B2%29=10%5E1=10 ALIGN=MIDDLE  ALT=\"10%5E-1%2F10%5E-2=10%5E%28-1-%28-2%29%29=10%5E%28-1%2B2%29=10%5E1=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex+=+8+ ALIGN=MIDDLE  ALT=\"2%5Ex+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 0.8 and 10 to get 8\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%282%5Ex%29%29+=+log%2810%2C%288%29%29+ ALIGN=MIDDLE  ALT=\"log%2810%2C%282%5Ex%29%29+=+log%2810%2C%288%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the log of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%2810%2C%282%29%29+=+log%2810%2C%288%29%29+ ALIGN=MIDDLE  ALT=\"x%2Alog%2810%2C%282%29%29+=+log%2810%2C%288%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the left side using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%5Ey%29=y%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%5Ey%29=y%2Alog%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >}\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+log%2810%2C%288%29%29%2Flog%2810%2C%282%29%29+ ALIGN=MIDDLE  ALT=\"x+=+log%2810%2C%288%29%29%2Flog%2810%2C%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%282%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate x\r<BR>\n" );
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document.write( "So after using a calculator, we get this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3+ ALIGN=MIDDLE  ALT=\"x+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "note: you could also ask yourself: 2 to what power equals 8? Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3=8 ALIGN=MIDDLE  ALT=\"2%5E3=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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