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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{10} (4 x) : 2 lo g_{10} (2) + lo g_{10} (x)

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

lo g_{6} (x^{2} - 36) - lo g_{6} (x - 6)

lo g_{6} (\frac{x ^{6} z}{y ^{6}})

ln^{2} (x) - 2 ln (x)

lo g_{3} (\frac{9 b ^{3} y ^{2} - 7}{y ( x + 7 ) ^{2}})

x (ln^{3} (x) - 3 ln^{2} (x) + 6 ln (x) - 6)

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