Problem with natural logarithmic function in fixed point notation

1. What is fixed point problem?
2. What is the logarithmic notation of natural logarithm?
3. Can natural log be less than 0?
4. Why is log zero not possible?

What is fixed point problem?

A number x satisfying the equation x = g(x) is called a fixed point of the function g because an application of g to x leaves x unchanged. For instance, the function given by x ² for all x has the two fixed points 0 and 1.

What is the logarithmic notation of natural logarithm?

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459. The natural logarithm of x is generally written as ln x, log_e x, or sometimes, if the base e is implicit, simply log x.

Can natural log be less than 0?

A natural logarithm cannot be less than or equal to zero.

As well, it is impossible to produce a negative number when the base is positive. The natural logarithm of the quotient of two positive numbers is ln(xy)=ln(x)−ln(y).

Why is log zero not possible?

log 0 is undefined. It's not a real number, because you can never get zero by raising anything to the power of anything else. You can never reach zero, you can only approach it using an infinitely large and negative power.