Solve 3^log_{3x}

$$3 ^ { \log _ { 3 } x }$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Apply rule a^{\log_{a}\left(b\right)}=b, where a=3 and b=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 a^{\log_{a}\left(b\right)}=b, where a=3 and b=x.

$$x$$