MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
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Chapter 7 Section 4 Question 3 Page 391<br />
a) log x + log(x ! 4) = 1<br />
Check:<br />
log "<br />
# x(x ! 4) $<br />
% = log10<br />
x 2 ! 4x = 10<br />
x 2 ! 4x !10 = 0<br />
x = !(!4) ± (!4)2 ! 4(1)(!10)<br />
2(1)<br />
x = 4 ± 56<br />
2<br />
x = 4 ± 2 14<br />
2<br />
x = 2 ± 14<br />
x = 2 + 14<br />
2 ! 14 is an extraneous root since both log x and log(x ! 4)<br />
are undefined for this value.<br />
<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 708
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