What is log_{4}(z)-log_{4}(y) ?

The solution to log_{4}(z)-log_{4}(y) is log_{4}(z/y)

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simplify log_{4}(z)-log_{4}(y)

simplify

lo g_{4} (z) - lo g_{4} (y)

lo g_{4} (\frac{z}{y})

Solution steps

lo g_{4} (z) - lo g_{4} (y)

Apply log rule:

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

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

= lo g_{4} (\frac{z}{y})

- lo g_{10} (1.5 \cdot 1 0^{- 2})

ln (\frac{x ^{2} y ^{3}}{z ^{5}})

5 ln (10) + 4 - 5 ln (5) + 1

ln (b c)

ln (x e^{y})

What is log_{4}(z)-log_{4}(y) ?
The solution to log_{4}(z)-log_{4}(y) is log_{4}(z/y)