What is log_{10}((sqrt(xy))/z) ?

The solution to log_{10}((sqrt(xy))/z) is log_{10}(sqrt(xy))-log_{10}(z)

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simplify log_{10}((sqrt(xy))/z)

simplify

lo g_{10} (\frac{x y}{z})

lo g_{10} (x y) - lo g_{10} (z)

Solution steps

lo g_{10} (\frac{x y}{z})

Apply log rule:

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

lo g_{10} (\frac{x y}{z}) = lo g_{10} (x y) - lo g_{10} (z)

= lo g_{10} (x y) - lo g_{10} (z)

lo g_{a} (m) - lo g_{a} (n) - lo g_{a} (t)

lo g_{5} ((m + n) \cdot p)

lo g_{9} (k^{2} - 81) - lo g_{9} (k - 9)

lo g_{2} ((2 x)^{3} (x + 1))

lo g_{10} (\frac{8 x ^{7} y ^{3}}{z ^{4}})

What is log_{10}((sqrt(xy))/z) ?
The solution to log_{10}((sqrt(xy))/z) is log_{10}(sqrt(xy))-log_{10}(z)