What is log_{10}(2)+log_{10}(x)+log_{10}(y) ?

The solution to log_{10}(2)+log_{10}(x)+log_{10}(y) is log_{10}(2xy)

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simplify log_{10}(2)+log_{10}(x)+log_{10}(y)

simplify

lo g_{10} (2) + lo g_{10} (x) + lo g_{10} (y)

lo g_{10} (2 x y)

Solution steps

lo g_{10} (2) + lo g_{10} (x) + lo g_{10} (y)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (x) = lo g_{10} (2 x)

= lo g_{10} (2 x) + lo g_{10} (y)

Apply log rule:

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

lo g_{10} (2 x) + lo g_{10} (y) = lo g_{10} (2 x y)

= lo g_{10} (2 x y)

lo g_{10} (\frac{( x ^{2} )}{( y ^{4} \cdot z )})

ln (21 x^{3.4})

- lo g_{10} (6.68 \cdot 1 0^{- 2})

lo g_{9} (\frac{w ^{4}}{v})

ln (3^{b} a^{b})

What is log_{10}(2)+log_{10}(x)+log_{10}(y) ?
The solution to log_{10}(2)+log_{10}(x)+log_{10}(y) is log_{10}(2xy)