Trigonometry Examples

$\log (100) + \log (50) = \log (5000)$

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 $b^{y} = x$ .

$10^{\log (5000)} = 5000$

Step 2

The left side $5000$ is equal to the right side $5000$ , which means that the given statement is always true.

True