Question

20 to the power of what = 365 and how do I calculate this? Thanks so much :)

Answer 1

logs may help

Answer 2

\[20^n=365\]
\[ln(20^n)=ln(365)\]
\[n~ln(20)=ln(365)\]
\[n=\frac{ln(365)}{ln(20)}\]
\[n=log_{20}(365)\]

Answer 3

Hi thanks for your reply

Answer 4

youre welcome

20^1 = 20
20^2 = 400

so we know it has to be somewhere between 1 and 2 . but im not sure theres a nice neat way to get there the way it is without a calculator