document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22747>Question 22747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help figuring out which way to proceed to solve this problem.<BR>\n" );
document.write( "log2(x-2) +5 = 8- log2 4.  The 2 is the base of the log. I think I should rewrite as  log2(x-2) + log2 4 = 3  What is the correct way. I think answer is<BR>\n" );
document.write( " 4(x-2) =2^3  x=4<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11136 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=11136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your first step is flawless!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28x-2%29%29%2Blog%282%2C4%29=+3 ALIGN=MIDDLE  ALT=\"log%282%2C%28x-2%29%29%2Blog%282%2C4%29=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now apply the Product Rule for logarithms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2CM%29%2Blog%28b%2CN%29+=+log%28b%2C%28MN%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2CM%29%2Blog%28b%2CN%29+=+log%28b%2C%28MN%29%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%282%2C%28x-2%29%29%2Blog%282%2C4%29+=+log%282%2C%284%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%28x-2%29%29%2Blog%282%2C4%29+=+log%282%2C%284%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x-8%29%29+=+3 ALIGN=MIDDLE  ALT=\"log%282%2C%284x-8%29%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this in exponential form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%29+=+y ALIGN=MIDDLE  ALT=\"log%28b%2Cx%29+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ey+=+x ALIGN=MIDDLE  ALT=\"b%5Ey+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3+=+4x-8 ALIGN=MIDDLE  ALT=\"2%5E3+=+4x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+4x-8 ALIGN=MIDDLE  ALT=\"8+=+4x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 8 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+4x ALIGN=MIDDLE  ALT=\"16+=+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Check: You could use your calculator but most likely it doesn't have logs to base 2.  So, you can change the base of logs from 2 to base 10, which your calculator most-likely can handle.\r<BR>\n" );
document.write( "\n" );
document.write( "Change of base from 2 to 10: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2CM%29+=+%28log%2810%2CM%29%29%2Flog%2810%2C2%29 ALIGN=MIDDLE  ALT=\"log%282%2CM%29+=+%28log%2810%2CM%29%29%2Flog%2810%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply this to your problem:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%284x-8%29%29+=+%28log%2810%2C%284x-8%29%29%29%2Flog%2810%2C2%29 ALIGN=MIDDLE  ALT=\"log%282%2C%284x-8%29%29+=+%28log%2810%2C%284x-8%29%29%29%2Flog%2810%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%2810%2C8%29%29%2Flog%2810%2C2%29+=+3 ALIGN=MIDDLE  ALT=\"%28log%2810%2C8%29%29%2Flog%2810%2C2%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use your calculator. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );