Source: Extra Practice

Find the value of 7^(log₇ 11).

Options

Option A

7

Option B

log 11

Option C is correct

11

Option D

1

Explanation

According to the fundamental identity of logarithms, a^(logₐ x) = x for any x > 0 and base a > 0, a ≠ 1. Applying this here, 7^(log₇ 11) = 11. This is a direct application of the definition of a logarithm as the inverse of exponentiation.