Question

Why does:

ln[(tan(x)^sinx] = sinx(ln tanx) ?

Answer 1

This is using the log power rule. (rule 3 -- http://www.purplemath.com/modules/logrules.htm )

Answer 2

f\[\ln[(tanx) ^{sinx}] = (sinx)(lntanx)\]

Answer 3

mathteacher, but this is ln?

Answer 4

ln(x) = log (base e) of x

Answer 5

is that even english?

Answer 6

ah ok, thanks mathteacher!

Answer 7

Sorry, I should have used math notation:
\[\huge \ln(x) = \log_e(x)\]

In other words, yes, the log rules all work for ln(x).

Answer 8

alright, thanks a lot!