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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{10} (\frac{1000}{m ^{2} + n ^{2}})

lo g_{4} (3 x y)

5 lo g_{5} (x) - \frac{1}{4} lo g_{5} (8 - x)

lo g_{10} (d) - 4 lo g_{10} (g)

lo g_{6} (\frac{2 y - 3}{y})

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