Exponential And Logarithmic Functions

To solve this problem, we need to evaluate the expression .

1. Applying Logarithmic Identity:
We use the identity: . In this case, the base , so the identity becomes:

2. Estimating the Value of :
We know that the value of . Therefore:

3. Evaluating the Options:
Now let's compare the approximate value of with the given options:

• (1)
• (2)
• (3)
• (4)

The closest and most accurate approximation is .

Final Answer:
The correct answer is (C) .