Question

The value of 4^{log 3} – 3^{log 4} is ______.

Options

• 0

• 1

• 3

• 12

Answer 1

The value of 4^{log 3} – 3^{log 4} is 0.

Explanation:

If “log” denotes the same base in both terms common log, then 4^{log 3} and 3^{log 4} are equal because a^{log b} = b^{log a} for any positive a, b when the log base is the same.

Hence, their difference is 0.