What is log_{10}((11x)/3) ?

The solution to log_{10}((11x)/3) is log_{10}(11)+log_{10}(x)-log_{10}(3)

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simplify log_{10}((11x)/3)

simplify

lo g_{10} (\frac{11 x}{3})

lo g_{10} (11) + lo g_{10} (x) - lo g_{10} (3)

Solution steps

lo g_{10} (\frac{11 x}{3})

Apply log rule:

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

lo g_{10} (\frac{11 x}{3}) = lo g_{10} (11 x) - lo g_{10} (3)

= lo g_{10} (11 x) - lo g_{10} (3)

Simplify

lo g_{10} (11 x) : lo g_{10} (11) + lo g_{10} (x)

= lo g_{10} (11) + lo g_{10} (x) - lo g_{10} (3)

- lo g_{10} (1.8 \times 1 0^{- 4})

ln (2 (2))

ln (\frac{r}{7 s})

2 lo g_{10} (x) - 3 lo g_{10} (z) + 1

lo g_{a} (\frac{x ^{6}}{y z ^{7}})

What is log_{10}((11x)/3) ?
The solution to log_{10}((11x)/3) is log_{10}(11)+log_{10}(x)-log_{10}(3)