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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

lo g_{10} (x^{2} - 9) - lo g_{10} (x + 3)

lo g_{10} (x y^{5})

lo g_{10} (8) + lo g_{10} (4)

lo g_{4} (\frac{12}{x})

lo g_{10} (\frac{y}{x ^{7}})

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