Which pair of functions is/are not identical? `log_e x^3, 3 log_e x`

Which pair of functions is/are not identical? log_(e)x^(3),3log_(e)x

Which pair of functions is identical? a. sin^(-1)(sinx) " and " sin(sin^(-1)x) b. log_(e)e^(x),e^(log_(e)x) c. log_(e)x^(2),2log_(e)x d. None of the above

Which pair of functions is identical?a) sin^(-1)(sin x) and sin (sin^(-1)x) b) log_(e)e^(x),e^(log_ex) c) log_(e)x^2,2log_ex d)None of these

Which pair of functions is identical? (a)sin^(-1)(sinx) ,sin(sin^(-1)x) (b) log_(e)e^(x),e^(log_(e)x) (c) log_(e)x^(2),2log_(e)x (d)None of the above

Is the pair of the functions e^(sqrt(log_(e)x)) and sqrt(x) identical ?

Is the pair of the functions e^(sqrt(log_(e)x)) and sqrt(x) identical ?

Is the pair of the functions e^(sqrt(log_(e)x)) and sqrt(x) identical ?

The inverse function of log_e x is

Separate the intervals of monotonicity for the following functions. f(x) = (log_(e)x)^(2) + (log_(e)x)