Evaluate ( log of 4*1)/64

$\frac{\log (4) \cdot 1}{64}$

Step 1

Rewrite $\log (4)$ as $\log (2^{2})$ .

$\frac{\log (2^{2}) \cdot 1}{64}$

Step 2

Expand $\log (2^{2})$ by moving $2$ outside the logarithm.

$\frac{2 \log (2) \cdot 1}{64}$

Step 3

Cancel the common factor of $2$ and $64$ .

Factor $2$ out of $2 \log (2) \cdot 1$ .

$\frac{2 (\log (2) \cdot 1)}{64}$

Cancel the common factors.

Factor $2$ out of $64$ .

$\frac{2 (\log (2) \cdot 1)}{2 \cdot 32}$

Cancel the common factor.

$\frac{2 (\log (2) \cdot 1)}{2 \cdot 32}$

Rewrite the expression.

$\frac{\log (2) \cdot 1}{32}$

Step 4

Multiply $\log (2)$ by $1$ .

$\frac{\log (2)}{32}$

Step 5

Rewrite $\frac{\log (2)}{32}$ as $\frac{1}{32} \log (2)$ .

$\frac{1}{32} \log (2)$

Step 6

Simplify $\frac{1}{32} \log (2)$ by moving $\frac{1}{32}$ inside the logarithm.

$\log (2^{\frac{1}{32}})$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\log (2^{\frac{1}{32}})$

Decimal Form:

$0.00940718 \dots$