What is log_{10}((4b)/5) ?

The solution to log_{10}((4b)/5) is 2log_{10}(2)+log_{10}(b)-log_{10}(5)

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simplify log_{10}((4b)/5)

simplify

lo g_{10} (\frac{4 b}{5})

2 lo g_{10} (2) + lo g_{10} (b) - lo g_{10} (5)

Solution steps

lo g_{10} (\frac{4 b}{5})

Apply log rule:

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

lo g_{10} (\frac{4 b}{5}) = lo g_{10} (4 b) - lo g_{10} (5)

= lo g_{10} (4 b) - lo g_{10} (5)

Simplify

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

= 2 lo g_{10} (2) + lo g_{10} (b) - lo g_{10} (5)

lo g_{2} (\frac{n}{16})

lo g_{a} (5 x - 4) - lo g_{a} (3 x + 8)

ln (\frac{625}{25})

\frac{2}{3} (lo g_{10} (E) - lo g_{10} (0.7))

ln (\frac{- 3.95 + 8.05}{31.8})

What is log_{10}((4b)/5) ?
The solution to log_{10}((4b)/5) is 2log_{10}(2)+log_{10}(b)-log_{10}(5)