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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 value of the product (GOEL) is `lamda`, the value of `sqrt(loglamdasqrt(loglamdasqrt(loglamda....)))` is

A

3

B

4

C

5

D

7

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will analyze the given equations and derive the necessary values. ### Step 1: Write down the given equations We have the following equations based on the problem statement: 1. \( \log(G \cdot L) + \log(G \cdot E) = 3 \) 2. \( \log(E \cdot L) + \log(E \cdot O) = 4 \) 3. \( \log(O \cdot G) + \log(O \cdot L) = 5 \)
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