If x>0, then (ln x) ^6=6 ln x. true 0r false. why?

This is false.

It is wrong, because this property of the tumble is only used when the exponent is in the variable "x"For example: Ln (x ^ 6) = 6Ln (x)

And

6Ln (x) = / = Ln (x) ^6

Because, Ln (x) ^6 = Ln (x). Ln (x) ...

... Ln (x) Six time.