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MHR • Advanced Functions 12 Solutions 660

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# I &<br />

b) 20 = 10 log<br />

$<br />

%<br />

1.0 !10 "<strong>12</strong> '<br />

(<br />

( ) = I<br />

100 1.0 !10 "<strong>12</strong><br />

# I &<br />

2 = log<br />

$<br />

%<br />

1.0 !10 "<strong>12</strong> '<br />

(<br />

10 2 I<br />

=<br />

1.0 !10 "<strong>12</strong><br />

I = 1!10 "10<br />

The whisper’s intensity is 1 × 10 –10 W/m 2 .<br />

# I &<br />

c) <strong>12</strong>0 = 10 log<br />

$<br />

%<br />

1.0 !10 "<strong>12</strong> '<br />

(<br />

10 <strong>12</strong> 1.0 !10 "<strong>12</strong><br />

# I &<br />

<strong>12</strong> = log<br />

$<br />

%<br />

1.0 !10 "<strong>12</strong> '<br />

(<br />

10 <strong>12</strong> I<br />

=<br />

1.0 !10 "<strong>12</strong><br />

( ) = I<br />

I = 1<br />

The car stereo’s intensity is 1 W/m 2 .<br />

Chapter 7 Section 4 Question 9 Page 392<br />

a) No, the statement is not true since log (–3) and log (–4) are undefined.<br />

b) Yes.<br />

L.S. = ! log3! log 4<br />

= !(log3+ log 4)<br />

= ! #<br />

$ log(3" 4) %<br />

&<br />

= ! log<strong>12</strong><br />

R.S. = ! log<strong>12</strong><br />

Since L.S. = R.S., –log 3 – log 4 = –log <strong>12</strong>.<br />

<strong>MHR</strong> <strong>•</strong> <strong>Advanced</strong> <strong>Functions</strong> <strong>12</strong> <strong>Solutions</strong> 715

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