Final answer:
To solve the equation f(x) = 2, substitute f(x) with 2 and solve for x using the given function f(x) = 3 - 4e^7x.
Step-by-step explanation:
To solve the equation f(x) = 2, we need to substitute f(x) with 2 and solve for x. Given the function f(x) = 3 - 4e^7x, we have:
2 = 3 - 4e^7x
Now, let's isolate the exponential term:
-1 = -4e^7x
To solve for x, we divide both sides of the equation by -4 and then take the natural logarithm of both sides:
x = ln(-1/4) / 7
Therefore, the solution to f(x) = 2 is x = ln(-1/4) / 7.