Algebra Examples

$\log_{5} (6) - \log_{5} (2) = \log_{5} (3)$

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 $b^{y} = x$ .

$5^{\log_{5} (3)} = 3$

Step 2

The left side $3$ is equal to the right side $3$ , which means that the given statement is always true.

True