What is the difference in exponential of log and ln

Question

What is the difference in exponential of log and ln?

For example, exp(ln(sqrt(2)) and exp(log(sqrt(2))

What will be the answer for these expressions?

Answer 1

Logarithm for base 10 is called common logarithm and is represented by log, whereas logarithm for the base e is called natural logarithm and represented using ln.

So,
$e^{\ln\sqrt2} = \sqrt2$    (base e is used) and
$e^{\log\sqrt2} = 1.16243273894$ (approx.)

Hope that helps.