Trigonometry Examples

$\log ({(2^{3} (3))}^{2}) = 6 \log (2) + 2 \log (3)$

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 $b^{y} = x$ .

$10^{\log (576)} = 576$

Step 2

The left side $576$ is equal to the right side $576$ , which means that the given statement is always true.

True