What is log_{10}((2x-7)(x^2+5x-3)) ?

The solution to log_{10}((2x-7)(x^2+5x-3)) is log_{10}(2x-7)+log_{10}(x^2+5x-3)

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simplify log_{10}((2x-7)(x^2+5x-3))

simplify

lo g_{10} ((2 x - 7) (x^{2} + 5 x - 3))

lo g_{10} (2 x - 7) + lo g_{10} (x^{2} + 5 x - 3)

Solution steps

lo g_{10} ((2 x - 7) (x^{2} + 5 x - 3))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} ((2 x - 7) (x^{2} + 5 x - 3)) = lo g_{10} (2 x - 7) + lo g_{10} (x^{2} + 5 x - 3)

= lo g_{10} (2 x - 7) + lo g_{10} (x^{2} + 5 x - 3)

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What is log_{10}((2x-7)(x^2+5x-3)) ?
The solution to log_{10}((2x-7)(x^2+5x-3)) is log_{10}(2x-7)+log_{10}(x^2+5x-3)