What is log_{10}(2asqrt(b)) ?

The solution to log_{10}(2asqrt(b)) is log_{10}(2)+log_{10}(a)+log_{10}(sqrt(b))

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simplify log_{10}(2asqrt(b))

simplify

lo g_{10} (2 a b)

lo g_{10} (2) + lo g_{10} (a) + lo g_{10} (b)

Solution steps

lo g_{10} (2 a b)

Apply log rule:

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

lo g_{10} (2 a b) = lo g_{10} (2) + lo g_{10} (a) + lo g_{10} (b)

= lo g_{10} (2) + lo g_{10} (a) + lo g_{10} (b)

lo g_{10} ((x - y)^{2}) - lo g_{10} (x - y)

ln (- 6 (\frac{e ^{1}}{3})^{\frac{1}{2}} \cdot 1)

- lo g_{10} (1.4 \cdot 1 0^{- 4})

lo g_{10} (\frac{x}{1 - x})

lo g_{10} (\frac{y}{z ^{6}})

What is log_{10}(2asqrt(b)) ?
The solution to log_{10}(2asqrt(b)) is log_{10}(2)+log_{10}(a)+log_{10}(sqrt(b))