What is log_{10}((3x)/8) ?

The solution to log_{10}((3x)/8) is log_{10}(3)+log_{10}(x)-3log_{10}(2)

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simplify log_{10}((3x)/8)

simplify

lo g_{10} (\frac{3 x}{8})

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

Solution steps

lo g_{10} (\frac{3 x}{8})

Apply log rule:

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

lo g_{10} (\frac{3 x}{8}) = lo g_{10} (3 x) - lo g_{10} (8)

= lo g_{10} (3 x) - lo g_{10} (8)

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

lo g_{10} (8) = 3 lo g_{10} (2)

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

ln (\frac{( x ^{p} e ^{- y} )}{z})

lo g_{10}^{2} (8) - lo g_{10}^{2} (125)

ln (x + 9) + ln (x - 9)

lo g_{4} (\frac{3 a ^{7} c}{5})

ln (x) - ln (7)

What is log_{10}((3x)/8) ?
The solution to log_{10}((3x)/8) is log_{10}(3)+log_{10}(x)-3log_{10}(2)