Log zero is not defined, and if it were defined, it would be more likely to be minus infinity than infinity.
Value of log 0 is negative infinity (undefined). Because no power can give an answer of zero. it is in fact undefined but written as negative infinity for symbolizing. Otherwise undefined and infinity are two different things.
Zero times infinity is defined as "indeterminate".
Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.
infinite
The logarithm of zero is defined as approaching negative infinity because logarithmic functions represent the exponent to which a base must be raised to produce a given number. As the input to the logarithm approaches zero from the positive side, the exponent needed to achieve that value becomes increasingly negative. Therefore, ( \log_b(0) ) tends toward negative infinity, indicating that no finite exponent can result in zero when using positive bases.
Infinity into zero = Log 2 = 0.692 by L'hospital Rule
Value of log 0 is negative infinity (undefined). Because no power can give an answer of zero. it is in fact undefined but written as negative infinity for symbolizing. Otherwise undefined and infinity are two different things.
Because the log of zero is "negative infinity", and the calculator display is too narrow to display that number.
The log of infinity, to any base, is infinity.
The log(infinity) does not exist. It is impossible to evaluate because infinity is not a number. When evaluating limits infinity is a special case of a nonexistent limit. The limit of the log(x) as x approaches infinity is infinity because log(x) increases without bound when x gets extremely large.
Infinity cannot, by definition, be a defined number such as zero.
Zero to Infinity was created in 1999-09.
Zero times infinity is defined as "indeterminate".
infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.
Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.
minus infinity
Infinity divided by any finite number is infinity. Here are the rules: 1. Infinity divided by a finite number is infinite (I / f = I); 2. Any finite number divided by infinity is a number infinitesimally larger than, but never equal to, zero (f / I = 1 / I); 3. Infinity divided by infinity is one (I / I = 1), or in fact any other positive number (I / I = and so on...); 4. Infinity multiplied by zero (no infinity) is zero (I * 0 = 0); 5. Infinity divided by a positive finite number is infinity (I / +f = I); 6. Infinity divided by a negative finite number is minus infinity (I / -f = -I); 7. Infinity divided by zero is not possible; 8. Infinity plus infinity is infinity (I + I = I); 9. Zero divided by infinity (nothing divided into infinity) equals zero (0 / I = 0); 10. Infinity plus a finite number is infinity (I + f = I); 11. Infinity minus a finite number is infinity (I - f = I); but 12. Infinity minus infinity, due to the nature of infinity, can be zero, infinity, or minus infinity (I - I = -I, 0, I).