Question

Valuate the function at the indici Function Value f(x) = log₃₆x, x = 6

Answer 1

To evaluate the function at x = 6, we substitute the value into the function and simplifying using logarithmic properties. The value of f(6) ≈ 0.3066.

Step-by-step explanation:

To evaluate the function at the indicated value, we substitute the value of x into the function. In this case, the function is f(x) = log₃₆x and x = 6. So, we substitute 6 into the function and evaluate:

f(6) = log₃₆6

We can rewrite this equation in exponential form to simplify:

36^f(6) = 6

Since 36 to what power equals 6? We can solve this by taking the logarithm of both sides:

f(6) = log₃₆6 = log(6) / log(36)

Using a calculator, we can find that f(6) ≈ 0.3066.