Evaluate log of 2*8

$\log (2) \cdot 8$

Step 1

Multiply $\log (2) \cdot 8$ .

Reorder $\log (2)$ and $8$ .

$8 \cdot \log (2)$

Simplify $8 \cdot \log (2)$ by moving $8$ inside the logarithm.

$\log (2^{8})$

Step 2

Raise $2$ to the power of $8$ .

$\log (256)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log (256)$

Decimal Form:

$2.40823996 \dots$