What is log_{2}(sqrt(36))-log_{2}(sqrt(72)) ?

The solution to log_{2}(sqrt(36))-log_{2}(sqrt(72)) is -1/2

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simplify log_{2}(sqrt(36))-log_{2}(sqrt(72))

simplify

lo g_{2} (36) - lo g_{2} (72)

- \frac{1}{2}

Solution steps

lo g_{2} (36) - lo g_{2} (72)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{2} (36) - lo g_{2} (72) = lo g_{2} (\frac{36}{72})

= lo g_{2} (\frac{36}{72})

\frac{36}{72} = 2^{- \frac{1}{2}}

= lo g_{2} (2^{- \frac{1}{2}})

Apply log rule:

lo g_{a} (a^{b}) = b

= - \frac{1}{2}

x^{2} - 3^{2}

\frac{1}{3} \div \frac{1}{5}

\frac{lo g _{25} ( 81 )}{lo g _{25} ( 3 )}

(sin (x) - cos (x))^{2} + (sin (x) + cos (x))^{2}

(x - 2) (x + 3) (x - 4)

What is log_{2}(sqrt(36))-log_{2}(sqrt(72)) ?
The solution to log_{2}(sqrt(36))-log_{2}(sqrt(72)) is -1/2