No.
Let y = ex. Then x = ln y for y > 0, where ln y means the 'natural logarithm of y'.
This is analogous to the following:
If y = 10x, then x = log10y for y > 0, where log10 y means the 'common (base 10) logarithm of y'. For instance, if y=100 then x = log10y = 2 because 100 = 102.
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yes
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.
a quadratic equation must be in this form ax^2+bx+c=0 (can either be + or -) an exponential just means that the function grows at an exponential rate f(x)=x^2 or x^3