Write in Exponential Form log base 1/2 of 16=-4

$\log_{\frac{1}{2}} (16) = - 4$

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, $b = \frac{1}{2}$ , $x = 16$ , and $y = - 4$ .