First slide

NA

Question

The value of $\sqrt{({\log^{2}}_{0.5} 4)}$ is

Easy

A

$- 2$
B

$\sqrt{(- 4)}$
C

$2$
D

None of these

Solution

$\sqrt{{\log^{2}}_{0.5} 4} = \sqrt{{\{\log_{0.5} {(0.5)}^{- 2}\}}^{2}} = \sqrt{{(- 2)}^{2}} = 2 .$

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