I just stumbled this earlier when I was playing with my calculator and I forgot how to use it, so I remember that logarithms is just a way of a reverse formula of exponents. So I came up with this solution, log 2 (8) = 3 in calculator, press 8 + press x radical symbol(y) + press 3 = 2 log 2 (3) = 1.58496250072116 in calculator press 3 + press x radical symbol(y) + 1.58496250072116 = 2 log 4 (16) = 4294967296 in calculator press 4294967296 + press x radical symbol(y) + 16 = 4 So the formula is, log base (logarithm number) = result or result as the index then radical symbol(logarithm number as the radicand) = base then, base result = logarithm number Now to get the result of a logarithm in calculator, you can use natural logarithm. To calculate it, do, ex. ln(16)/ln(2) = 4 which is equivalent to, log 2 (16) = 4 another ex. ln(65536)/ln(4) = 7.99 = 8 which is equivalent to log 4 (65536) = 8