Question

differentiat log(logx)

Answer 1

1/(x log x)

Answer 2

Use chain rule.

Answer 3

oh i got it thanks

Answer 4

how do you do this question log x3

Answer 5

what is log x3?

Answer 6

\[\log _{x} 3\]

Answer 7

when you differentiate it?

Answer 8

that is same as (Log 3 / log x) so it will be log3/(x(log x)^2)

Answer 9

why is it the same as (Log 3 / log x)

Answer 10

change of base\[\log_ax\to\log_bx\]is done by\[\frac{\log_bx}{\log_ab}\]

Answer 11

for your formula a=x and b=whatever you want it to I guess. Natural log is a good choice.

Answer 12

differential of log x to base 'e' is just 1/x but differential of log x to base y is 1/(x log y).
By a property of log, log x base y = (log x)/ log y here both logs on the rhs can be to any same base i have taken that base as e and then applied chain rule.