Algebra Examples

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

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{2} (x \cdot x) + \log_{2} (4)$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{2} (x \cdot x \cdot 4)$

Step 3

Multiply $x$ by $x$ .

$\log_{2} (x^{2} \cdot 4)$

Step 4

Move $4$ to the left of $x^{2}$ .

$\log_{2} (4 x^{2})$