document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941697>Question 941697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the inverse of y=  log2 (8^(x-1)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574064 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to find the inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=++log%282%2C8%5E%28x-1%29%29 ALIGN=MIDDLE  ALT=\"y=++log%282%2C8%5E%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, first swap <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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%282%2C8%5E%28y-1%29%29 ALIGN=MIDDLE  ALT=\"x=++log%282%2C8%5E%28y-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...now solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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%282%2C8%5E%28y-1%29%29 ALIGN=MIDDLE  ALT=\"x=++log%282%2C8%5E%28y-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...change to base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"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=x=++log%288%5E%28y-1%29%29%2Flog%282%29 ALIGN=MIDDLE  ALT=\"x=++log%288%5E%28y-1%29%29%2Flog%282%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%2Alog%282%29=++log%288%5E%28y-1%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%282%29=++log%288%5E%28y-1%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%282%5Ex%29=++log%288%5E%28y-1%29%29 ALIGN=MIDDLE  ALT=\"log%282%5Ex%29=++log%288%5E%28y-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...since log same, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex=+8%5E%28y-1%29 ALIGN=MIDDLE  ALT=\"2%5Ex=+8%5E%28y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   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=+%282%5E3%29%5E%28y-1%29 ALIGN=MIDDLE  ALT=\"2%5Ex=+%282%5E3%29%5E%28y-1%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=2%5Ex=+2%5E%283%28y-1%29%29 ALIGN=MIDDLE  ALT=\"2%5Ex=+2%5E%283%28y-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....if bases same then exponents are same too\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+3%28y-1%29 ALIGN=MIDDLE  ALT=\"x=+3%28y-1%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=+3y-3 ALIGN=MIDDLE  ALT=\"x=+3y-3\"   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%2B3=+3y ALIGN=MIDDLE  ALT=\"x%2B3=+3y\"   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=y=x%2F3%2B1 ALIGN=MIDDLE  ALT=\"y=x%2F3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >..=>the inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=++log%282%2C8%5E%28x-1%29%29 ALIGN=MIDDLE  ALT=\"y=++log%282%2C8%5E%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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