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

The solution to log_{10}(2x+3)-log_{10}(x) is log_{10}((2x+3)/x)

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

simplify

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

lo g_{10} (\frac{2 x + 3}{x})

Solution steps

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

Apply log rule:

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

lo g_{10} (2 x + 3) - lo g_{10} (x) = lo g_{10} (\frac{2 x + 3}{x})

= lo g_{10} (\frac{2 x + 3}{x})

lo g_{b} (\frac{x ^{2} y ^{2}}{z ^{2}})

ln (\frac{n}{n + 1})

lo g_{2} (21) - lo g_{2} (7)

ln (\frac{4 m ^{5}}{p})

\frac{3}{5} (- \frac{2}{3} lo g_{2} (\frac{2}{3}) - \frac{1}{3} lo g_{2} (\frac{1}{3}))

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