Final answer:
To convert the exponential model to the base e, we use the formula a0e^kx = a0(6/e)^(k*log6(x)), with a0 = 4 and k = ln(6).
Step-by-step explanation:
In the given exponential model f(x) = 4(6)^x, we are asked to write it with the base e in the form a0e^kx. To do this, we need to convert the base 6 to the base e. The base e holds a special significance in exponential functions, often referred to as natural exponential functions.
To convert the base 6 to the base e, we can use the formula a0e^kx = a0(6/e)^(k*log6(x)). In this case, a0 would be 4 and k would be ln(6).