Question

Find the value of x.

log1/2(1/4) = x

Answer 1

x =2

Answer 2

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

Answer 3

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