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})

x (ln (x) - ln (y))

f (x) = ln (\frac{x}{2}) - ln (x)

2 lo g_{10} (a) - lo g_{10} (b)

f (x) = lo g_{10} (\frac{11 x ^{3}}{4})

ln (sin (θ)) - ln (\frac{sin ( θ )}{6})

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)