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Q4). (a) The temperature, T℃, of a cooling liquid after t minutes is given by

T = 120 e^-0.04t

Calculate the time taken, to the nearest minute, for the temperature of the liquid to fall to 60℃. (6)

(b) Solve the following equation for x:

log⁡(x²+ 26) - log⁡(x + 2) = log⁡7    (6)

(c) Simplify the following as fully as possible:

(16 a⁴ b⁸ c²)^3/4/(4b² c)² (4)