Trigonometry Examples

$\log_{2} (x - 3) = 5$

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, $b = 2$ , $x = x - 3$ , and $y = 5$ .

$b = 2$

$x = x - 3$

$y = 5$

Step 2

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

$2^{5} = x - 3$