Trigonometry Examples

$\log (30) = \log (2 \cdot 3 \cdot 5)$

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 $b^{y} = x$ .

$10^{\log (30)} = 30$

Step 2

The left side $30$ is equal to the right side $30$ , which means that the given statement is always true.

True