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

$b^{y} = x$ .

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$