Solve =Blog_{2}1024

$$= B \log _ { 2 } 1024$$

Differentiate w.r.t. B

$$10$$

Steps Using Definition of a Derivative

The base 2 logarithm of 1024 is 10.

$$\frac{\mathrm{d}}{\mathrm{d}B}(B\times 10)$$

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

$$10B^{1-1}$$

Subtract 1 from 1.

$$10B^{0}$$

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

$$10\times 1$$

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

$$10$$

Evaluate

$$10B$$

Solution Steps

The base 2 logarithm of 1024 is 10.

$$B\times 10$$