Because log(2) to the base 10 is 0.3010 which is approx 0.3.
Using logs changes a multiplicative difference [factor of 2] to an additive difference [of log(2)].
Usually it is, yes. Of course, in some special cases the result of taking a logarithm is rational - such as taking the base-10 logarithm of 100.
I am not quite sure what you mean with "log you"; the log is calculated for numbers. The following logarithms are undefined: For real numbers: the logarithm of zero and of negative numbers is undefined. For complex numbers: the logarithm of zero is undefined.
Logarithms of numbers less than one are negative. For example, the logarithm of 1/2 will be negative.
A logarithm can not be converted in to an exponential, as an exponential is defined for all real numbers, while a logarithm is only defined for numbers greater than zero. However, a logarithm can be related to an exponential by the fact that they are inverses of each other. e.g. if y = 2^x the x = log2y
Qualitative test represents the substance and a quantitative test shows the amount.First Deals with descriptions, second one with numbers
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
Within the real numbers, the logarithm of negative numbers is not defined.
An interval that remains the same throughout a sequence
Usually it is, yes. Of course, in some special cases the result of taking a logarithm is rational - such as taking the base-10 logarithm of 100.
the difference is also doubled
I am not quite sure what you mean with "log you"; the log is calculated for numbers. The following logarithms are undefined: For real numbers: the logarithm of zero and of negative numbers is undefined. For complex numbers: the logarithm of zero is undefined.
Logarithms of numbers less than one are negative. For example, the logarithm of 1/2 will be negative.
A logarithm can not be converted in to an exponential, as an exponential is defined for all real numbers, while a logarithm is only defined for numbers greater than zero. However, a logarithm can be related to an exponential by the fact that they are inverses of each other. e.g. if y = 2^x the x = log2y
Negative numbers don't have logarithms.
It used a semi-logarithm representation of numbers.
You look the number up in a table.Example:Find the logarithm of 511From a table I see that numbers are only listed from 1.00 to 9.99I look up 5.11 and know that I have to multiply that by 100 or 102 to get my original value, which is equivalent to adding 2 to the table value.The table gives me 0.7084209 for the logarithm for 5.11The logarithm of 511 is thus 2.7084209For numbers less than 1 the logarithm will be negative!Negative numbers do have logarithms!
Qualitative test represents the substance and a quantitative test shows the amount.First Deals with descriptions, second one with numbers