Solve log(10)x*3

$$\log ( 10 ) x \times 3$$

Evaluate

$$3x$$

Solution Steps

The base 10 logarithm of 10 is 1.

$$1x\times 3$$

Multiply 1 and 3 to get 3.

$$3x$$

Differentiate w.r.t. x

$$3$$

Steps Using Definition of a Derivative

The base 10 logarithm of 10 is 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1x\times 3)$$

Multiply 1 and 3 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x)$$

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

$$3x^{1-1}$$

Subtract 1 from 1.

$$3x^{0}$$

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

$$3\times 1$$

For any term t, t\times 1=t and 1t=t.

$$3$$