What is log_{10}((11a)/4) ?

The solution to log_{10}((11a)/4) is log_{10}(11)+log_{10}(a)-2log_{10}(2)

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simplify log_{10}((11a)/4)

simplify

lo g_{10} (\frac{11 a}{4})

lo g_{10} (11) + lo g_{10} (a) - 2 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{11 a}{4})

Apply log rule:

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

lo g_{10} (\frac{11 a}{4}) = lo g_{10} (11 a) - lo g_{10} (4)

= lo g_{10} (11 a) - lo g_{10} (4)

lo g_{10} (11 a) = lo g_{10} (11) + lo g_{10} (a)

lo g_{10} (4) = 2 lo g_{10} (2)

= lo g_{10} (11) + lo g_{10} (a) - 2 lo g_{10} (2)

lo g_{x} (\frac{1}{2})

ln (9 x) - ln (9)

lo g_{8} (\frac{9 x ^{3}}{4 y ^{2}})

4 lo g_{10} (7) + 4 lo g_{10} (x)

What is log_{10}((11a)/4) ?
The solution to log_{10}((11a)/4) is log_{10}(11)+log_{10}(a)-2log_{10}(2)