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Academics – Mathematics : 2024/OCT/04

Question

Q4. (a) Solve EACH of the following for x, correct to 3 decimal places:

(i) log_e⁡(e^x + 10) = 3; (4)

(ii) 7 = 5e^-0.4x (4)

(b) Transpose the following formula to make V the subject:

t = CR log_e⁡(E/V) (4)

(a³ b⁶)^2/3/√(a² b⁴) (4)

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