Question

What is the exact value of 6log6(12)
6
log
6
⁡
(
12
)

Answer 1

The value of 6log6(12) is 12.

Step-by-step explanation:

The value of 6log6(12) is 12.

To find the value of 6log6(12), we need to determine the value of log6(12). Since the base of the logarithm is 6, we need to find the exponent that raises 6 to the power of that exponent to get 12.

Using the logarithm property, we have log6(12) = log10(12) / log10(6). Applying the change of base formula, we find log10(12) / log10(6) ≈ 1.0792.

Finally, multiplying 6 by log6(12) gives us 6 * 1.0792 ≈ 6.4752 = 12.