What is log_{10}((11x)/5) ?

The solution to log_{10}((11x)/5) is log_{10}(11)+log_{10}(x)-log_{10}(5)

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simplify log_{10}((11x)/5)

simplify

lo g_{10} (\frac{11 x}{5})

lo g_{10} (11) + lo g_{10} (x) - lo g_{10} (5)

Solution steps

lo g_{10} (\frac{11 x}{5})

Apply log rule:

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

lo g_{10} (\frac{11 x}{5}) = lo g_{10} (11 x) - lo g_{10} (5)

= lo g_{10} (11 x) - lo g_{10} (5)

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} (5)

lo g_{b} (\frac{4 y ^{5}}{x ^{4} z})

ln (\frac{x ( 3 x - 2 ) ^{5}}{3 - 5 x})

lo g_{4} (6) + 2 lo g_{4} (3)

lo g_{5} (2) - lo g_{5} (t)

What is log_{10}((11x)/5) ?
The solution to log_{10}((11x)/5) is log_{10}(11)+log_{10}(x)-log_{10}(5)