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Academics – Mathematics : 2014/DEC/04

Question

Q4. (a) Evaluate without using tables or calculator: (5)

(7 log⁡27 + log⁡81- log⁡243)/(2 log⁡3 )

(b) Solve for x, x > 0, in the following equation: (5)

log 3x⁴ - log x² = log x + log 12

T = 150 e-^0.05t

Calculate the time taken for the temperature of the liquid to fall to 50℃. (6)

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