document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147145>Question 147145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find x<BR>\n" );
document.write( "-3log(x+2)+log5=0\r<BR>\n" );
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document.write( "The answer is -2+cube root of 5\r<BR>\n" );
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document.write( "What steps are involved in getting to that answer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107469 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=107469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3log%2810%2C%28x%2B2%29%29%2Blog%2810%2C%285%29%29=0 ALIGN=MIDDLE  ALT=\"-3log%2810%2C%28x%2B2%29%29%2Blog%2810%2C%285%29%29=0\"   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=-3log%2810%2C%28x%2B2%29%29=-log%2810%2C%285%29%29 ALIGN=MIDDLE  ALT=\"-3log%2810%2C%28x%2B2%29%29=-log%2810%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%285%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%2B2%29%5E%28-3%29%29=-log%2810%2C%285%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%2B2%29%5E%28-3%29%29=-log%2810%2C%285%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=y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29 ALIGN=MIDDLE  ALT=\"y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%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=log%2810%2C%28x%2B2%29%5E%28-3%29%29=log%2810%2C%285%29%5E%28-1%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%2B2%29%5E%28-3%29%29=log%2810%2C%285%29%5E%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the right side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29 ALIGN=MIDDLE  ALT=\"y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%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=%28x%2B2%29%5E%28-3%29=%285%29%5E%28-1%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E%28-3%29=%285%29%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the logs are equal with the same base, this means that arguments are equal\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B2%29%5E%283%29=1%2F%285%29%5E%281%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B2%29%5E%283%29=1%2F%285%29%5E%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E1=%28x%2B2%29%5E%283%29 ALIGN=MIDDLE  ALT=\"5%5E1=%28x%2B2%29%5E%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=%28x%2B2%29%5E%283%29 ALIGN=MIDDLE  ALT=\"5=%28x%2B2%29%5E%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C5%29=x%2B2 ALIGN=MIDDLE  ALT=\"root%283%2C5%29=x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C5%29-2=x ALIGN=MIDDLE  ALT=\"root%283%2C5%29-2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2Broot%283%2C5%29=x ALIGN=MIDDLE  ALT=\"-2%2Broot%283%2C5%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2%2Broot%283%2C5%29 ALIGN=MIDDLE  ALT=\"x=-2%2Broot%283%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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