What is log_{2}(x)-5log_{2}(y) ?

The solution to log_{2}(x)-5log_{2}(y) is log_{2}(x/(y^5))

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simplify log_{2}(x)-5log_{2}(y)

simplify

lo g_{2} (x) - 5 lo g_{2} (y)

lo g_{2} (\frac{x}{y ^{5}})

Solution steps

lo g_{2} (x) - 5 lo g_{2} (y)

Apply log rule:

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

5 lo g_{2} (y) = lo g_{2} (y^{5})

= lo g_{2} (x) - lo g_{2} (y^{5})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{2} (x) - lo g_{2} (y^{5}) = lo g_{2} (\frac{x}{y ^{5}})

= lo g_{2} (\frac{x}{y ^{5}})

lo g_{5} (x + 12) + lo g_{5} (x - 12)

lo g_{2} (\frac{7 r ^{5}}{z ^{7}})

ln (\frac{1}{N !})

lo g_{x} (\frac{x ^{3} y}{n ^{7}})

lo g_{8} (\frac{8}{y})

What is log_{2}(x)-5log_{2}(y) ?
The solution to log_{2}(x)-5log_{2}(y) is log_{2}(x/(y^5))