Im learning logs right now and Im a bit confused on one of the identies.
Can you please clarify this?
\(\log_c b = \frac{\log_a b}{\log_a c}\)
What is a?
Is it anything we want, is it 10?
Thanks
I think this is often referred to as the base change identity
logc b = x means cx = b
cx=b now take loga of both sides
x loga c = loga b now divide both sides by loga c
x = loga b / loga c see that red equation above? x = logc b ....sub that in for x
logc b = loga b / loga c which is your identity !
