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

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

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

simplify

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

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

Solution steps

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

Cancel

\frac{5 b}{10} : \frac{b}{2}

= lo g_{10} (\frac{b}{2})

Apply log rule:

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

lo g_{10} (\frac{b}{2}) = lo g_{10} (b) - lo g_{10} (2)

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

lo g_{7} (6 (y + 4))

lo g_{4} (11 b^{2} c)

2 - lo g_{10} (4 x)

lo g_{3} (\frac{27}{x + 9})

lo g_{5} (x y)

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