Question

Choose the most appropriate options. If \(a, b, c\) are positive real numbers, then \[ \frac{1}{\log_{abc}} + \frac{1}{\log_{abc}} + \frac{1}{\log_{abc}} = \]

• A. 0
• B. 1
• C. 2
• D. 3

Hint:

When simplifying expressions involving logarithms, use the property \( \log_b a = \frac{1}{\log_a b} \) to reduce the terms.

Answer 1

The Correct Option is C

Using properties of logarithms, the equation simplifies as follows: \[ \frac{1}{\log_{abc}} + \frac{1}{\log_{abc}} + \frac{1}{\log_{abc}} = 2 \]