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

The solution to log_{10}(3x+7)-log_{10}(x) is log_{10}((3x+7)/x)

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

simplify

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

lo g_{10} (\frac{3 x + 7}{x})

Solution steps

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

Apply log rule:

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

lo g_{10} (3 x + 7) - lo g_{10} (x) = lo g_{10} (\frac{3 x + 7}{x})

= lo g_{10} (\frac{3 x + 7}{x})

lo g_{5} (30) + lo g_{5} (6)

ln (a x)

lo g_{b} (7 x \cdot 2 y)

20 lo g_{2} (x) - 5 lo g_{2} (y)

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

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