Write the set of values of `' a '` for which `f(x)=(log)_a x` is increasing in its domain.

Explanation

We have given

`f(x)=log_a x`

Let `x_1`,`x_2 in(0,oo)` such that `x_1`<`x_2`

As given function is logarithmic, either `a`>`1` or` 0`<`a`<`1`.

Case I : Let `a`>`1`

Here, `x_1`<`x_2`

`implies log_ax_1` <`log_ax_2`

`impliesf(x_1)`<`f(x_2)`

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