What is simplify-log_{2}(3/11) ?

The solution to simplify-log_{2}(3/11) is -log_{2}(3)+log_{2}(11)

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simplify-log_{2}(3/11)

simplify

- lo g_{2} (\frac{3}{11})

- lo g_{2} (3) + lo g_{2} (11)

Decimal Notation

1.87446 \dots

Solution steps

- lo g_{2} (\frac{3}{11})

Apply log rule:

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

- lo g_{2} (\frac{3}{11}) = - (lo g_{2} (3) - lo g_{2} (11))

= - (lo g_{2} (3) - lo g_{2} (11))

Apply the distributive law:

- (a - b) = - a + b

- (lo g_{2} (3) - lo g_{2} (11)) = - lo g_{2} (3) + lo g_{2} (11)

= - lo g_{2} (3) + lo g_{2} (11)

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What is simplify-log_{2}(3/11) ?
The solution to simplify-log_{2}(3/11) is -log_{2}(3)+log_{2}(11)