What is log_{10}(5x+6)-log_{10}(x) ?

The solution to log_{10}(5x+6)-log_{10}(x) is log_{10}((5x+6)/x)

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simplify log_{10}(5x+6)-log_{10}(x)

simplify

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

lo g_{10} (\frac{5 x + 6}{x})

Solution steps

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

Apply log rule:

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

lo g_{10} (5 x + 6) - lo g_{10} (x) = lo g_{10} (\frac{5 x + 6}{x})

= lo g_{10} (\frac{5 x + 6}{x})

ln (\frac{x + 2}{x - 2})

ln (x) - ln (x^{2})

ln (\frac{8}{3 \cdot 3})

lo g_{10} (x^{5}) + 3 lo g_{10} (x^{4})

ln (- 4 i)

What is log_{10}(5x+6)-log_{10}(x) ?
The solution to log_{10}(5x+6)-log_{10}(x) is log_{10}((5x+6)/x)