**Slot -1 – Quantitative Aptitude – Algebra – Logarithms – If x is a positive quantity such that 2^x**

**If x is a positive quantity such that 2^x = 3^log(base5)^2 , then x is equal to?**

a) log(base5)^9

b) 1 + log(base5) 3/5

c) log(base5)^8

d) 1 + log(base3) 5/3

**Answer:** b) 1 + log(base5) 3/5

**Solution:**

Given , 2^x = 3^log(base5)2

taking log of both sides ,

x log2 = log(base5) 2 log 3 = (log 2 log 3 )/log5

Or x = log 3/log 5 = log(base5) 3 = 1+ log(base5) 3/5

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