If the base is 10 then the given logarithm is a natural logarithm.

Answer 1

2.7182818284590452353602874713527, known as "e", is the base for natural logarithms.

Then e² or 2.7182818284590452353602874713527² gives

7.389056098930650227230427460575 and the natural logarithm of

7.389056098930650227230427460575 or ln 7.389056098930650227230427460575

[also written as log_e7.389056098930650227230427460575] is equal to 2.

If the base is equal to 10, then the power to which 10 is raised is a "common" logarithm.

Then 10² gives 100 and the common logarithm of 100 or log₁₀100 [also written as log 100]

is equal to 2.

Natural logarithms are also known as Napierian Logarithms.

Common logarithms are also known as Briggsian Logarithms.