document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421639>Question 421639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log base8 2x^2 + log base8 4 = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294483 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=294483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2C+2x%5E2%29+%2B+log%288%2C+4%29+=+5 ALIGN=MIDDLE  ALT=\"log%288%2C+2x%5E2%29+%2B+log%288%2C+4%29+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We can use the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2Cx%29+%2B+log%28a%2Cy%29+=+log%28a%2Cxy%29 ALIGN=MIDDLE  ALT=\"log%28a%2Cx%29+%2B+log%28a%2Cy%29+=+log%28a%2Cxy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2C+8x%5E2%29+=+5 ALIGN=MIDDLE  ALT=\"log%288%2C+8x%5E2%29+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Raise each side to the exponent with base 8, i.e. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E%28log%288%2C+8x%5E2%29%29+=+8%5E5 ALIGN=MIDDLE  ALT=\"8%5E%28log%288%2C+8x%5E2%29%29+=+8%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2+=+8%5E5 ALIGN=MIDDLE  ALT=\"8x%5E2+=+8%5E5\"   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%5E2+=+8%5E4 ALIGN=MIDDLE  ALT=\"x%5E2+=+8%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = 64 or -64. We have to be especially careful dealing with negative solutions or obtaining a negative in the logarithm, since the logarithm is not defined on negative numbers (disregarding complex values). We can check that both solutions satisfy. </SPAN>\n" );
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