Answer: In order to solve for x, we will have to use the logarithmic properties to isolate x.
f(x) = 3 - 4 In (x-2)
To solve for x, we will have to get x alone on one side of the equation by using the logarithmic property that logb(a^c) = c*logb(a).
4 In (x-2) = 3
In (x-2) = 3/4
To find x, we will raise e to the power of both sides
x-2 = e^(3/4)
x = e^(3/4) + 2
So the solution of x is e^(3/4) + 2
It's important to notice that the natural logarithm (ln) and log base e (In) are same and the solution is valid for both.
Explanation: