What is log_{10}((p^3+q)/(1000)) ?

The solution to log_{10}((p^3+q)/(1000)) is log_{10}(p^3+q)-3

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simplify log_{10}((p^3+q)/(1000))

simplify

lo g_{10} (\frac{p ^{3} + q}{1000})

lo g_{10} (p^{3} + q) - 3

Solution steps

lo g_{10} (\frac{p ^{3} + q}{1000})

Apply log rule:

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

lo g_{10} (\frac{p ^{3} + q}{1000}) = lo g_{10} (p^{3} + q) - lo g_{10} (1000)

= lo g_{10} (p^{3} + q) - lo g_{10} (1000)

lo g_{10} (1000) = 3

= lo g_{10} (p^{3} + q) - 3

lo g_{4} (\frac{x ^{2}}{5})

ln (x^{7}) - ln (x)

lo g_{10} (6) + lo g_{10} (5)

lo g_{7} (x y^{3})

- lo g_{10} (2.4 \cdot 1 0^{- 5})

What is log_{10}((p^3+q)/(1000)) ?
The solution to log_{10}((p^3+q)/(1000)) is log_{10}(p^3+q)-3