18.057299999999998
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For common log (base 10): 1.0000000018552618886990907646849
For natural log (base e): 1.0000000008057300003246004165372
The natural log of a number is some other number such that if you take e (2.718281828...) and raise it to that other number you would get the first number. Another way to say this is that a natural log is a log with base e. The common log of a number is some other number such that if you take 10 and raise it to that other number you would get the first number. The natural log base, e, is a special transcendental number, chosen so that the derivative (respect to x) of ex is equal to ex . In other words, the slope of a tangent line to the curve y = ex at point (x, ex) is equal to ex for all x
Yes. Take any rational number p. Let a = any number that is not a power of 10, so that log(a) is irrational. and let b = p/log(a). log(a) is irrational so 1/log(a) must be irrational. That is, both log(a) and log(b) are irrational. But log(a)*log(b) = log(a)*[p/log(a)] = p which is rational. In the above case all logs are to base 10, but any other base can be used.
There is no answer - it is an error: negative numbers do not have logarithms. The log if a number tells to what power the (positive) base must be raised to get the number. Raising any positive number to any power will never result in a negative number, so it is an error to try and take the log of a negative number.
It depends on what calculator you are using. Often, shift log is inverse log, or natural log, but it could have other meanings. Please restate the question and specify the model number of the calculator.
"Log" is short for "logarithm, a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.