Trigonometry Examples

$\frac{\ln (15)}{\ln (2)} = \log_{2} (15)$

Step 1

Rewrite the equation.

$\log_{2} (15) = 3.90689059$

Step 2

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 $b^{y} = x$ .

$2^{3.90689059} = 15$

Step 3

The left side $15$ is equal to the right side $15$ , which means that the given statement is always true.

True