What is log_{10}(2w^5-7w)+log_{10}(w^{-1}) ?

The solution to log_{10}(2w^5-7w)+log_{10}(w^{-1}) is log_{10}(2w^4-7)

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simplify log_{10}(2w^5-7w)+log_{10}(w^{-1})

simplify

lo g_{10} (2 w^{5} - 7 w) + lo g_{10} (w^{- 1})

lo g_{10} (2 w^{4} - 7)

Solution steps

lo g_{10} (2 w^{5} - 7 w) + lo g_{10} (w^{- 1})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (2 w^{5} - 7 w) + lo g_{10} (w^{- 1}) = lo g_{10} ((2 w^{5} - 7 w) w^{- 1})

= lo g_{10} ((2 w^{5} - 7 w) w^{- 1})

Simplify

(2 w^{5} - 7 w) w^{- 1} : 2 w^{4} - 7

= lo g_{10} (2 w^{4} - 7)

lo g_{10} (\frac{100}{x ^{2} + y ^{2}})

ln (\frac{17}{3})

lo g_{10} (\frac{x ^{4}}{y})

- lo g_{10} (9.9 \cdot 1 0^{- 6})

lo g_{10} (\frac{6 x}{13})

What is log_{10}(2w^5-7w)+log_{10}(w^{-1}) ?
The solution to log_{10}(2w^5-7w)+log_{10}(w^{-1}) is log_{10}(2w^4-7)