What is expand log_{4}((x/z)/w) ?

The solution to expand log_{4}((x/z)/w) is log_{4}(x)-log_{4}(z)-log_{4}(w)

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expand log_{4}((x/z)/w)

expand

lo g_{4} (\frac{\frac{x}{z}}{w})

lo g_{4} (x) - lo g_{4} (z) - lo g_{4} (w)

Solution steps

lo g_{4} (\frac{\frac{x}{z}}{w})

Apply log rule:

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

lo g_{4} (\frac{\frac{x}{z}}{w}) = lo g_{4} (\frac{x}{z}) - lo g_{4} (w)

= lo g_{4} (\frac{x}{z}) - lo g_{4} (w)

Apply log rule:

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

lo g_{4} (\frac{x}{z}) = lo g_{4} (x) - lo g_{4} (z)

= lo g_{4} (x) - lo g_{4} (z) - lo g_{4} (w)

ln (24) - ln (8)

ln (\frac{2 x}{3})

lo g_{2} ((a^{5} b^{2})^{3})

1000 e^{\frac{4 l n ( 2 )}{3}}

ln (\frac{( t + 5 ) ^{3}}{t ^{4} ( 5 - 1 ) ^{2}})

What is expand log_{4}((x/z)/w) ?
The solution to expand log_{4}((x/z)/w) is log_{4}(x)-log_{4}(z)-log_{4}(w)