WAEC Further Mathematics 2023 Objective — Question 8

Question 8 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

If log(2 base x)=2, evaluate log(x base 4)^128, i.e. log_4^128 in base x=4 -- find log base 4 of 128.

A. 7
B. 2
C. 7/2Correct
D. 2/7

Explanation

log_x^2=2 gives x=2^2=4. So we require log_4(128) = log_2(128)/log_2(4) = 7log_2(2)/2log_2(2) = 7/2.

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