document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005203>Question 1005203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact solution, using common logarithms. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)\r<BR>\n" );
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document.write( "4^(2x + 3) = 5^(x - 2)\r<BR>\n" );
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document.write( "Find a two-decimal-place approximation of each solution. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621615 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10551)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find the exact solution, using common logarithms. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)\r<BR>\n" );
document.write( "\n" );
document.write( "4^(2x + 3) = 5^(x - 2)\r<BR>\n" );
document.write( "\n" );
document.write( "Find a two-decimal-place approximation of each solution. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%282x+%2B+3%29+=+5%5E%28x+-+2%29 ALIGN=MIDDLE  ALT=\"4%5E%282x+%2B+3%29+=+5%5E%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28%284%5E%282x+%2B+3%29%29%29+=+log+%28%285%5E%28x+-+2%29%29%29 ALIGN=MIDDLE  ALT=\"log+%28%284%5E%282x+%2B+3%29%29%29+=+log+%28%285%5E%28x+-+2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- Taking the log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+3%29+%2A+log+%284%29+=+%28x+-+2%29+%2A+log+%285%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+3%29+%2A+log+%284%29+=+%28x+-+2%29+%2A+log+%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- Applying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+a%5Eb+=+a+%2A+log+%28b%29 ALIGN=MIDDLE  ALT=\"log+a%5Eb+=+a+%2A+log+%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+3%29%2F%28x+-+2%29+=+log+%285%29%2Flog+%284%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+3%29%2F%28x+-+2%29+=+log+%285%29%2Flog+%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+3%29%2F%28x+-+2%29+=+1.160964047 ALIGN=MIDDLE  ALT=\"%282x+%2B+3%29%2F%28x+-+2%29+=+1.160964047\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2x + 3 = 1.160964047(x - 2) -------- Cross-multiplying<BR>\n" );
document.write( "2x + 3 = 1.160964047x - 2.321928<BR>\n" );
document.write( "2x - 1.160964047x = - 2.321928 - 3<BR>\n" );
document.write( ".839035953x = - 5.321928<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-+5.321928%29%2F.839035953 ALIGN=MIDDLE  ALT=\"x+=+%28-+5.321928%29%2F.839035953\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+-6.342908285%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+-6.342908285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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