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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

lo g_{5} (z^{2} x)

lo g_{10} (z^{7} y)

ln (\frac{x - 1}{x - 2})

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