**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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