Can someone explain to me Natural Logarithm Functions and help me do this example?
Write this equation in exponential form 8=2.08

Question

Can someone explain to me Natural Logarithm Functions and help me do this example?
Write this equation in exponential form 8=2.08

whpalmer4 · Answer

I'm assuming you know about logarithms in general, and just need to know about the natural logarithm.  Speak up if that isn't the case!

The natural logarithm is just a logarithm computed to the base $e \approx 2.718281828$ and is typically written as $\ln$.  

By the definition of a natural logarithm, if $e^{n} = x$ then $\ln x = n$ by the property that $\log x^a = a \log x$ and $\ln e = \ln e^1 =  1$.