Precalculus Examples

$2 \log_{2} (7) + 7 \log_{2} (4)$

Step 1

Simplify $2 \log_{2} (7)$ by moving $2$ inside the logarithm.

$\log_{2} (7^{2}) + 7 \log_{2} (4)$

Step 2

Raise $7$ to the power of $2$ .

$\log_{2} (49) + 7 \log_{2} (4)$

Step 3

Logarithm base $2$ of $4$ is $2$ .

$\log_{2} (49) + 7 \cdot 2$

Step 4

Multiply $7$ by $2$ .

$\log_{2} (49) + 14$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log_{2} (49) + 14$

Decimal Form:

$19.61470984 \dots$