**Slot -1 – Quantitative Aptitude – Algebra – Logarithms – If log(base2)(5 + log(base3) a) **

**If log**_{2}**(5 + log**_{3}**a) = 3 and log**_{5}**(4a + 12 + log**_{2}** b) = 3, then a + b is equal to?**

a) 59

b) 40

c) 67

d) 32

**Solution: **

**Given, **log_{2}(5 + log_{3} a) = 3

5 + log_{3} a = 2^3 = 8

log_{3} a = 3

so a = 3^3 = 27

Now log(base5) (4a+12+log(base2) b)=3

Or 4a + 12 + log(base2) b) = 125

log(base2) b = 125-12-4×27=5

So b = 2^5 = 32

Thus a+b = 59

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