MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
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d)<br />
Chapter 7 Practice Test Question 8 Page 410<br />
a) log (x + 1) = 5 log x – 2<br />
b) x &= 3.37, from the graph<br />
c) log(x +1) = 5log x ! 2<br />
2 = 5log x ! log(x +1)<br />
log100 = log x 5 ! log(x +1)<br />
" x 5 %<br />
log100 = log$<br />
# x +1<br />
'<br />
&<br />
100 = x5<br />
x +1<br />
100x +100 = x 5<br />
x 5 !100x !100 = 0<br />
Since x &= 3.37 is the only value where log (x + 1) and log x are defined, it is the solution.<br />
The other values are extraneous roots.<br />
<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 746
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