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Mathematics 30 June 1999 Grade 12 Diploma Exam

Mathematics 30 June 1999 Grade 12 Diploma Exam

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Use the following information to answer the next question.<br />

The partial graphs of f (x) = 1 + 3 log 2 x and g(x) = 4 – log 2 x are shown<br />

below. The graphs intersect at point A.<br />

y<br />

7<br />

y = f(x)<br />

6<br />

5<br />

4<br />

3<br />

2<br />

A<br />

y = g(x)<br />

1<br />

1 2 3 4<br />

x<br />

–1<br />

–2<br />

–3<br />

18. Based on the information above, the x-coordinate of point A can be determined<br />

by solving<br />

A. 3 log 2 x + 1 = 0<br />

B. 4 – log 2 x = 0<br />

C. log 2 x = 5 2<br />

D. log 2 x = 3 4<br />

11

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