What is log_{10}(4x+7)-log_{10}(x) ?

The solution to log_{10}(4x+7)-log_{10}(x) is log_{10}((4x+7)/x)

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simplify log_{10}(4x+7)-log_{10}(x)

simplify

lo g_{10} (4 x + 7) - lo g_{10} (x)

lo g_{10} (\frac{4 x + 7}{x})

Solution steps

lo g_{10} (4 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} (4 x + 7) - lo g_{10} (x) = lo g_{10} (\frac{4 x + 7}{x})

= lo g_{10} (\frac{4 x + 7}{x})

lo g_{2} (\frac{x ^{2} + 1}{2 ^{x}})

lo g_{b} (y^{5} x)

lo g_{4} (\frac{64}{x})

lo g_{5} (\frac{y}{125})

lo g_{10} (\frac{11 x ^{3} y}{z + 1})

What is log_{10}(4x+7)-log_{10}(x) ?
The solution to log_{10}(4x+7)-log_{10}(x) is log_{10}((4x+7)/x)