# Quantitative Aptitude – Algebra – Logarithms – If log(base12)⁡ 81=p then 3 ## Slot -1 – Quantitative Aptitude – Algebra – Logarithms – If log(base12)⁡ 81=p then 3

If log(base12)⁡ 81=p then 3 { (4-p)/(4+p)} is equal to

a) log (base2) 8
b) log (base4) 16
c) log (base6) 8
d) log (base6) 16

Solution:
Given , log(base12)⁡ 81 = p
4 log (base12) 3 = p
So 3 (4-p)/(4+p) = 3 (1- log(base12)⁡ 3 )/(1+ log(base12)⁡ 3)=3 × log(base12)⁡(12/3)/log(base12)⁡(12×3) = 3×log(base36)⁡ 4 = log(base6) ⁡8
Answer: c) log (base6) 8

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