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MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Practice Test Question 6 Page 410<br />

a) ( 2 ) 3 x+2 = ( 2 ) 2 2x!1<br />

2 3x+6 = 2 4x!2<br />

3x + 6 = 4x ! 2<br />

4x ! 3x = 6 + 2<br />

x = 8<br />

b) 3 x = ( 3 ) 4 x!4<br />

3 x = 3 4x!16<br />

x = 4x !16<br />

4x ! x = 16<br />

3x = 16<br />

x = 16 3<br />

c) 1 = log(x + 5) ! log 2<br />

"<br />

log10 = log x + 5 %<br />

#<br />

$ 2 &<br />

'<br />

10 = x + 5<br />

2<br />

20 = x + 5<br />

x = 15<br />

d) log8 ! log(x ! 2) = 1<br />

" 8 %<br />

log<br />

#<br />

$ x ! 2&<br />

' = log10<br />

8<br />

x ! 2 = 10<br />

8 = 10x ! 20<br />

10x = 28<br />

x = 2.8<br />

Chapter 7 Practice Test Question 7 Page 410<br />

a)<br />

<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 744

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