Department

MathematicsCourse Code

MATA32H3Professor

AllStudy Guide

QuizThis

**preview**shows half of the first page. to view the full**2 pages of the document.**MATA32 – Winter 2010

Quiz 3: Solutions

Name: KEY

1. The demand equation for a product is p= 82−

1

2q. Express qin terms of p, using only

base 10 logarithms.

Take the logarithm (base 10) of both sides. We ﬁnd:

log p= log 82−

1

2q=2−1

2qlog 8

= 2 log 8 −1

2qlog 8.

From this we deduce that

1

2qlog 8 = 2 log 8 −log p.

Multiplying both sides by 2 and dividing both sides by log 8, we

conclude that

q=2(2 log 8 −log p)

log 8 .

Continued on reverse...

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