What is log_{10}((x^6y)/z) ?

The solution to log_{10}((x^6y)/z) is 6log_{10}(x)+log_{10}(y)-log_{10}(z)

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simplify log_{10}((x^6y)/z)

simplify

lo g_{10} (\frac{x ^{6} y}{z})

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

Solution steps

lo g_{10} (\frac{x ^{6} y}{z})

Apply log rule:

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

lo g_{10} (\frac{x ^{6} y}{z}) = lo g_{10} (x^{6} y) - lo g_{10} (z)

= lo g_{10} (x^{6} y) - lo g_{10} (z)

Simplify

lo g_{10} (x^{6} y) : 6 lo g_{10} (x) + lo g_{10} (y)

= 6 lo g_{10} (x) + lo g_{10} (y) - lo g_{10} (z)

ln (\frac{3 r ^{2}}{r - 8})

- lo g_{10} (1.3 \cdot 1 0^{- 8})

3.3 + lo g_{10} (\frac{0.3}{0.25})

lo g_{10} (\frac{x}{3 y})

lo g_{10} (\frac{z ^{3}}{y x ^{5}})

What is log_{10}((x^6y)/z) ?
The solution to log_{10}((x^6y)/z) is 6log_{10}(x)+log_{10}(y)-log_{10}(z)