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

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

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simplify-log_{2}(x/3)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

4 ln (x) - 6 ln (y)

3 + lo g_{10} (\frac{x}{10})

lo g_{3} (\frac{27}{x})

lo g_{10} (\frac{y ^{4}}{100 x})

lo g_{10} (\frac{x}{y ^{5}})

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