What is log_{10}(3x+4)-log_{10}(x) ?

The solution to log_{10}(3x+4)-log_{10}(x) is log_{10}((3x+4)/x)

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simplify log_{10}(3x+4)-log_{10}(x)

simplify

lo g_{10} (3 x + 4) - lo g_{10} (x)

lo g_{10} (\frac{3 x + 4}{x})

Solution steps

lo g_{10} (3 x + 4) - 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 + 4) - lo g_{10} (x) = lo g_{10} (\frac{3 x + 4}{x})

= lo g_{10} (\frac{3 x + 4}{x})

3 ln (x) - 2 ln (y)

3 ln (x) + 5 ln (y) - 2 ln (z)

ln (\frac{e x ^{2}}{x + 1})

ln (x) + ln (x + 1)

\frac{1}{2} lo g_{10} (b) + 7 lo g_{10} (c)

What is log_{10}(3x+4)-log_{10}(x) ?
The solution to log_{10}(3x+4)-log_{10}(x) is log_{10}((3x+4)/x)