Algebra Examples

$\log_{4} (7) + \log_{4} (2) = \log_{4} (14)$

Step 1

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

$\log_{4} (7 \cdot 2) = \log_{4} (14)$

Step 2

Multiply $7$ by $2$ .

$\log_{4} (14) = \log_{4} (14)$

Step 3

Since the two sides have been shown to be equivalent, the equation is an identity.

$\log_{4} (7) + \log_{4} (2) = \log_{4} (14)$ is an identity.