Does log 0 have an answer?

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. This is because any number raised to 0 equals 1.

Can e to the power of anything be negative?

See, e is a positive number which is approximately equal to 2.71828. So e to the power anything ( be it a fraction,decimal,negative integer,positive integer,etc.) can be expressed as such that the value is always positive.

What is the ln of 0?

The real natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of zero is undefined.

How does e x equal 0?

The function ex considered as a function of Real numbers has domain (−∞,∞) and range (0,∞) . So it can only take strictly positive values. When we consider ex as a function of Complex numbers, then we find it has domain C and range C\{0} . That is 0 is the only value that ex cannot take.

What does E to the 0 mean?

What is e0? If you remember your exponents, the answer to this question is easy. For all numbers, raising that number to the 0th power is equal to one. So we know that: e0=1.

Is e x 2 always positive?

Its derivative is always positive.

Is e to the infinity 0?

Answer: Zero It implies that e increases at a very high rate when e is raised to the infinity of power and thus leads towards a very large number, so we conclude that e raised to the infinity of power is infinity.

Why is E^X not 0?

If you define it as “a product of x factors all equal to e” [which of course only makes sense if x is a positive integer], then since e is not 0 and a product of numbers can only be 0 if one of the factors is, of course e^x is not 0.

Can E^X ever be 0 for any rational number?

A2A: When x = 0, then e x = 1. When x is positive, e x > 1. When x is negative, e x is a positive fraction. Those are all the cases for real numbers, and in every case, e x > 0. e = 0. Which is not possible so e^x cannot be 0 for any rational number , I studied mathematics at the University of Queensland to third year level .

Why Log(0) is not defined?

Why log (0) is not defined. The real logarithmic function log b (x) is defined only for x>0. We can’t find a number x, so the base b raised to the power of x is equal to zero: b x = 0 , x does not exist So the base b logarithm of zero is not defined. For example the base 10 logarithm of 0 is not defined:

How do you find the natural log if E is 0?

Unfortunately c o If e a = 0, a = ln ⁡ ( 0). This cannot be the case because (in the real numbers) the natural log is only defined for positive numbers. If e b i = 0, cos ⁡ ( b) + i sin ⁡ ( b) = 0.