Mathematics 30 June 1999 Grade 12 Diploma Exam
Mathematics 30 June 1999 Grade 12 Diploma Exam
Mathematics 30 June 1999 Grade 12 Diploma Exam
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• Algebraically solve the equation 3 x + 2 = 6 x and give the solution, correct to the nearest<br />
hundredth.<br />
A POSSIBLE SOLUTION<br />
3 x + 2 =6 x<br />
log 3 x + 2 = log 6 x<br />
(x + 2)log 3 = x log 6<br />
x log 3 + 2 log 3 = x log 6<br />
2 log 3 = x log 6 – x log 3<br />
2 log 3 = x (log 6 – log 3)<br />
2log3<br />
log6−<br />
log 3<br />
= x<br />
3.17 = x<br />
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