What is log_{10}((6x)/(x+2)) ?

The solution to log_{10}((6x)/(x+2)) is log_{10}(6)+log_{10}(x)-log_{10}(x+2)

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simplify log_{10}((6x)/(x+2))

simplify

lo g_{10} (\frac{6 x}{x + 2})

lo g_{10} (6) + lo g_{10} (x) - lo g_{10} (x + 2)

Solution steps

lo g_{10} (\frac{6 x}{x + 2})

Apply log rule:

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

lo g_{10} (\frac{6 x}{x + 2}) = lo g_{10} (6 x) - lo g_{10} (x + 2)

= lo g_{10} (6 x) - lo g_{10} (x + 2)

Simplify

lo g_{10} (6 x) : lo g_{10} (6) + lo g_{10} (x)

= lo g_{10} (6) + lo g_{10} (x) - lo g_{10} (x + 2)

ln (\frac{5}{10})

lo g_{10} (\frac{x ^{2} y}{z})

lo g_{4} (7) - lo g_{4} (5)

ln (\frac{11}{2})

9 ln (x) - \frac{1}{8} ln (y)

What is log_{10}((6x)/(x+2)) ?
The solution to log_{10}((6x)/(x+2)) is log_{10}(6)+log_{10}(x)-log_{10}(x+2)