document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129935>Question 1129935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show every step. This is a proof.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log_b%28x%29=%281%2F2%29log_b%28v%2B3%29 ALIGN=MIDDLE  ALT=\"log_b%28x%29=%281%2F2%29log_b%28v%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, show that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28b%5E3%29+sqrt%28v%29 ALIGN=MIDDLE  ALT=\"x+=+%28b%5E3%29+sqrt%28v%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746560 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The statement is not true; so it can't be proved.<br><BR>\n" );
document.write( "Use \"nice\" numbers to find a counterexample: b=2, v=13.  Then the right side of the given equation evaluates to<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29log_2%2813%2B3%29+=+%281%2F2%29log_2%2816%29+=+%281%2F2%29%284%29+=+2 ALIGN=MIDDLE  ALT=\"%281%2F2%29log_2%2813%2B3%29+=+%281%2F2%29log_2%2816%29+=+%281%2F2%29%284%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then the equation says the expression on the left, log_2(x), is equal to 2.  So<br><BR>\n" );
document.write( "log_2(x)=2  -->  x = 2^2 = 4.<br><BR>\n" );
document.write( "But the statement we are trying to prove is x = (b^3)^sqrt(v), and it is certainly not true that<br><BR>\n" );
document.write( "4 = (2^3)(sqrt(13).<br><BR>\n" );
document.write( "Note that if you show the given equation correctly, a proof is possible.... </SPAN>\n" );
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