## anonymous 5 years ago Find the value of x. log1/2(1/4) = x

1. anonymous

x =2

2. anonymous

$log_{\frac{1}{2}}(\frac{1}{4})=x$ means $(\frac{1}{2})^x=\frac{1}{4}$ and since $\sqrt{\frac{1}{4}}=(\frac{1}{4})^{\frac{1}{2}}$, $x=\frac{1}{2}$

3. anonymous

oops i meant since $(\frac{1}{2})^2=\frac{1}{4}$ $x=2$