What is log_{10}(3bsqrt(a)) ?

The solution to log_{10}(3bsqrt(a)) is log_{10}(3)+log_{10}(b)+log_{10}(sqrt(a))

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simplify log_{10}(3bsqrt(a))

simplify

lo g_{10} (3 b a)

lo g_{10} (3) + lo g_{10} (b) + lo g_{10} (a)

Solution steps

lo g_{10} (3 b a)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (3 b a) = lo g_{10} (3) + lo g_{10} (b) + lo g_{10} (a)

= lo g_{10} (3) + lo g_{10} (b) + lo g_{10} (a)

ln (\frac{e ^{4}}{3})

lo g_{10} (5 x y) + lo g_{10} (4 x) - lo g_{10} (5 x y)

lo g_{10} (\frac{5 y}{x ^{2}})

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

What is log_{10}(3bsqrt(a)) ?
The solution to log_{10}(3bsqrt(a)) is log_{10}(3)+log_{10}(b)+log_{10}(sqrt(a))