Question

evaluate: log[12]554

Answer 1

To get the log of a number using an arbitrary base, find the log using a base you know (like 10) and divide by the log of the old base:

log[10]x
log[b] x = ------------
log[10]b

Here you would get

log[12]554 = log[10]554 / log[10]12 = 2.74350976 / 1.07918125 = 2.54221409.