Question

Given f(x) = ln(3x - 5) + 3, what is f(6(2))?

A) 1.099
B) 2.708
C) 2.833
D) 3.142

Answer 1

The value of f(6(2)) for f(x) = ln(3x - 5) + 3 is approximately 2.708 (Option B).

Step-by-step explanation:

Replace x with 6(2):

f(6(2)) = ln(3(6(2)) - 5) + 3

Simplify the expression inside the logarithm.

Evaluate f(6(2)):

f(6(2)) = ln(36 - 5) + 3

f(6(2)) = ln(31) + 3

Calculate the Final Value:

Use the properties of logarithms to combine the terms: f(6(2)) = ln(31) + 3

Use a calculator to find the numerical value.

The result is approximately 2.708, matching Option B.