Answer:
f(x) = 52 is approximately 7.63.
Explanation:
We can substitute f(x) = 52 in the equation y = 400(0.60)^x and solve for x:
52 = 400(0.60)^x
Divide both sides by 400:
0.13 = (0.60)^x
Take the logarithm of both sides:
log(0.13) = x*log(0.60)
Divide both sides by log(0.60):
x = log(0.13)/log(0.60)
Using a calculator, we get:
x ≈ 7.63
Therefore, the value of x when f(x) = 52 is approximately 7.63.