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Let G,O,E and L be positive real numbers...

Let G,O,E and L be positive real numbers such that log(G.L)+log(G.E)=3,log(E.L)+log(E.O)=4, log(O.G)+log(O.L)=5 (base of the log is 10)
If the minimum value of 3G+2L+2O+E is `2^(lamda)3^mu5^nu` ,Where `lamda,mu`,and `nu` are whole numbers, the value of `sum(lamda^(mu)+mu^(nu))` is

A

7

B

13

C

19

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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