JAMB Mathematics 2020 Objective — Question 1

Question 1 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

Evaluate log2 3 . log3 4 . log4 5 . log5 6 . log6 7 . log7 8.

A. log3 8
B. 1
C. 2
D. 3Correct

Explanation

logb(a) is equivalent to (logx a)/(logx b) = log(a)/log(b), since any base can be used. Then, log2 3.log3 4.log4 5.log5 6.log6 7.log7 8 = (log3/log2)x(log4/log3)x(log5/log4)x(log6/log5)x(log7/log6)x(log8/log7) = log8/log2 = log2(2^3) = 3log2(2) = 3x1 = 3.

Sign up free to unlock

Score tracking
Practice history
Saved questions
Progress dashboard
Personalized sessions
Weak-topic breakdown

…and/or go further with premium services and No Ads.

Create free account

More questions from Mathematics 2020 Objective More Mathematics past papers