MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
MHR • Advanced Functions 12 Solutions 660
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Chapter 7 Review Question 9 Page 408<br />
a) log 6<br />
(8 ! 27) = log 6<br />
216<br />
= 3<br />
c) log 2 2 + log5 2 = log 4 + log 25<br />
= log(4 ! 25)<br />
= log100<br />
= 2<br />
! <strong>12</strong>8$<br />
b) log 4<br />
"<br />
# 8 %<br />
& = log 16 4<br />
= 2<br />
d) log3 2 + log<strong>12</strong>.5 = log9 + log<strong>12</strong>.5<br />
= log(9 !<strong>12</strong>.5)<br />
= log1<strong>12</strong>.5<br />
&= 2.05<br />
Chapter 7 Review Question 10 Page 408<br />
" 8 ! 4%<br />
a) log 7<br />
#<br />
$ 16 &<br />
' = log 2 7<br />
!<br />
b) log a 2 + log(3b) – log c = log 3a2 b$<br />
# & , a > 0, b > 0, c > 0<br />
" c %<br />
Chapter 7 Review Question 11 Page 408<br />
a) log a 2 + log b + log c = 2 log a + log b + log c, a > 0, b > 0, c > 0<br />
1<br />
b) log k ! log m = log k ! log m2<br />
= log k ! 1 log m, k > 0, m > 0<br />
2<br />
Chapter 7 Review Question <strong>12</strong> Page 408<br />
"<br />
a) log 2m + 6 %<br />
#<br />
$<br />
m 2 ! 9 &<br />
' = log " 2(m + 3) %<br />
#<br />
$ (m ! 3)(m + 3) &<br />
'<br />
" 2 %<br />
= log<br />
#<br />
$ m ! 3&<br />
' ,m > 3<br />
"<br />
b) log x2 + 2x !15%<br />
" (x + 5)(x ! 3) %<br />
$<br />
# x 2 ' = log<br />
! 7x +<strong>12</strong>&<br />
#<br />
$ (x ! 4)(x ! 3) &<br />
'<br />
"<br />
= log x + 5 %<br />
#<br />
$ x ! 4&<br />
' , x > 4 or x < !5<br />
<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 739