What is log_{b}(xyz)-2log_{b}(w) ?

The solution to log_{b}(xyz)-2log_{b}(w) is log_{b}((xyz)/(w^2))

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simplify log_{b}(xyz)-2log_{b}(w)

simplify

lo g_{b} (x yz) - 2 lo g_{b} (w)

lo g_{b} (\frac{x yz}{w ^{2}})

Solution steps

lo g_{b} (x yz) - 2 lo g_{b} (w)

Apply log rule:

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

2 lo g_{b} (w) = lo g_{b} (w^{2})

= lo g_{b} (x yz) - lo g_{b} (w^{2})

Apply log rule:

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

lo g_{b} (x yz) - lo g_{b} (w^{2}) = lo g_{b} (\frac{x yz}{w ^{2}})

= lo g_{b} (\frac{x yz}{w ^{2}})

lo g_{4} (6) + 3 lo g_{4} (x)

ln (\frac{1 ^{4}}{( 1 + 1 ) ^{4}})

ln (\frac{k ^{6}}{m ^{3}})

ln (\frac{( sin ( x ) cos ^{4} ( x ) )}{4})

ln (\frac{90}{70})

What is log_{b}(xyz)-2log_{b}(w) ?
The solution to log_{b}(xyz)-2log_{b}(w) is log_{b}((xyz)/(w^2))