Final answer:
To express the equation 'log(m)=z' in its exponential form, we can rewrite it as 'm=e^z' by applying the property that the inverse of the natural logarithm is the exponential function.
Step-by-step explanation:
To write the equation log(m)=z in its exponential form, we will use the property of logarithms that states the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This property allows us to convert between logarithmic and exponential forms. The inverse of the natural logarithm function, denoted as 'ln', is the exponential function 'e' to the power of 'x', which we represent as ex. Thus, using the base 'e', we can express the equation log(m)=z in its exponential form as m=ez.