If fx log3 x 1 What is f 12?

To solve for f(12), we start by understanding the equation given: f(x) = log₃ x. The equation tells us that f(x) is defined as the logarithm of x to the base 3.

Now, we need to find out what f(12) is, which means we need to calculate log₃ 12.

To calculate log₃ 12, we can use the change of base formula:

log₃ 12 = log₁₀ 12 / log₁₀ 3 (or you can use natural logarithms as well).

Now we can calculate:

• log₁₀ 12 ≈ 1.07918
• log₁₀ 3 ≈ 0.47712

Plugging these values into the change of base formula:

log₃ 12 ≈ 1.07918 / 0.47712 ≈ 2.26

Thus, f(12) ≈ 2.26. In conclusion, when we evaluate f(12), we find that it is approximately equal to 2.26.