Question

Which of the following correctly expresses the exponential model f(x)=6(13)x with the base e?

Select the correct answer below:


f(x)=13eln(6)x
f(x)=6eln(13)x
f(x)=6e13x
f(x)=13e6x
f(x)=13e6ln(x)
f(x)=6e13ln(x)

Answer 1

The correct expression of the exponential model f(x)=6(13)x with the base e is f(x)=6eln(13)x.

Step-by-step explanation:

To express an exponential model with base e, we use the property that the natural logarithm (ln) is the inverse function of the exponential function with base e.

By applying this property, we can rewrite the original model as f(x) = 6e^ln(13)x, which simplifies to f(x) = 6eln(13)x.

This is the correct way to express the exponential model with the base e.

Therefore, the correct expression of the exponential model f(x)=6(13)x with the base e is: f(x)=6eln(13)x