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Q4. (a) The time, t hours, to charge a new tablet to a level C (expressed as a decimal fraction of the battery’s full charge) is given by;

t = 2.2In (1 - C), 0 < C < 1.

Determine EACH of the following for the tablet:

(i) the percentage of the full charge achieved after charging for 51/2 hours; (6)

(ii) the total time taken, to the nearest ¼ hour, to reach 95% of full charge. (4)

(b) Solve the following for equation x:

log₁₀ (3/2x - 1/(2x² )) = 0 (6)