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

The solution to log_{10}((10x)/6) is log_{10}(5)+log_{10}(x)-log_{10}(3)

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

simplify

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

lo g_{10} (5) + lo g_{10} (x) - lo g_{10} (3)

Solution steps

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

Cancel

\frac{10 x}{6} : \frac{5 x}{3}

= lo g_{10} (\frac{5 x}{3})

Apply log rule:

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

lo g_{10} (\frac{5 x}{3}) = lo g_{10} (5 x) - lo g_{10} (3)

= lo g_{10} (5 x) - lo g_{10} (3)

Simplify

lo g_{10} (5 x) : lo g_{10} (5) + lo g_{10} (x)

= lo g_{10} (5) + lo g_{10} (x) - lo g_{10} (3)

lo g_{b} (60) + lo g_{b} (3)

ln (p) - ln (p - 6500)

\frac{1}{4} lo g_{10} (a) - \frac{1}{5} lo g_{10} (b)

ln (\frac{6}{x})

ln (\frac{x y}{z})

What is log_{10}((10x)/6) ?
The solution to log_{10}((10x)/6) is log_{10}(5)+log_{10}(x)-log_{10}(3)