Algebra Examples

$2 \log (6) + \log (\frac{1}{3}) = \log (12)$

Step 1

Rewrite the equation in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $y = l o g (b) (x)$ is equivalent to $b^{y} = x$ .

$10^{\log (12)} = 12$

Step 2

The left side $12$ is equal to the right side $12$ , which means that the given statement is always true.

True