What is log_{10}((3x)/4) ?

The solution to log_{10}((3x)/4) is log_{10}(3)+log_{10}(x)-2log_{10}(2)

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simplify log_{10}((3x)/4)

simplify

lo g_{10} (\frac{3 x}{4})

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

Solution steps

lo g_{10} (\frac{3 x}{4})

Apply log rule:

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

lo g_{10} (\frac{3 x}{4}) = lo g_{10} (3 x) - lo g_{10} (4)

= lo g_{10} (3 x) - lo g_{10} (4)

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

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

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

lo g_{10} (\frac{7 x}{11})

lo g_{5} (\frac{125}{y})

\frac{1}{3} ln ((x - 4)^{6}) + ln (x) - ln (x^{2} - 8 x + 16)

6 lo g_{b} (t) - lo g_{b} (s)

ln (x y)

What is log_{10}((3x)/4) ?
The solution to log_{10}((3x)/4) is log_{10}(3)+log_{10}(x)-2log_{10}(2)