Trigonometry Examples

$\log_{1024} (16) = \frac{2}{5}$

Step 1

For logarithmic equations, $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ such that $x > 0$ , $b > 0$ , and $b \neq 1$ . In this case, $b = 1024$ , $x = 16$ , and $y = \frac{2}{5}$ .

$b = 1024$

$x = 16$

$y = \frac{2}{5}$

Step 2

Substitute the values of $b$ , $x$ , and $y$ into the equation $b^{y} = x$ .

$1024^{\frac{2}{5}} = 16$