Solve a^log_{ax}

$$a ^ { \log _ { a } x }$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Apply rule p^{\log_{p}\left(q\right)}=q, where p=a and q=x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$

Evaluate

$$x$$

Solution Steps

Apply rule p^{\log_{p}\left(q\right)}=q, where p=a and q=x.

$$x$$