Very simple: it is 1.6989700043 to be exact. You can test this because log50 means we assume the natural log (base 10), if you test 10 to the exponent of 1.6989700043 you should render 50 as your result :D
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Using logs. to base '10'.
Then
log(10)50 = 1.698970004.....
However, using the 'natural' base 'ln'.
ln(e) 50 = 3.912023005.....
Log bases are interchangeable using the equation.
log(10)e = ln(e)e / ln(e)10
2.1673173347
log 1.630 = 0.2122 I just put 1.63 into a calculator, pressed Log, and read the answer to four significant places.
3.1415926535897932384626433832795028841971693993751
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.
The logarithm of 0.8, written as log(0.8), is approximately -0.09691. This value represents the exponent to which the base (usually 10) must be raised to produce 0.8. Logarithms of numbers between 0 and 1 are negative because they are fractions.