What is log_{10}(x)+log_{10}(x+3)-log_{10}(4) ?

The solution to log_{10}(x)+log_{10}(x+3)-log_{10}(4) is log_{10}((x(x+3))/4)

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simplify log_{10}(x)+log_{10}(x+3)-log_{10}(4)

simplify

lo g_{10} (x) + lo g_{10} (x + 3) - lo g_{10} (4)

lo g_{10} (\frac{x ( x + 3 )}{4})

Solution steps

lo g_{10} (x) + lo g_{10} (x + 3) - lo g_{10} (4)

Apply log rule:

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

lo g_{10} (x) + lo g_{10} (x + 3) = lo g_{10} (x (x + 3))

= lo g_{10} (x (x + 3)) - lo g_{10} (4)

Apply log rule:

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

lo g_{10} (x (x + 3)) - lo g_{10} (4) = lo g_{10} (\frac{x ( x + 3 )}{4})

= lo g_{10} (\frac{x ( x + 3 )}{4})

ln (\frac{x ^{5}}{x ( 1 + x ) ^{4}})

ln (\frac{1}{x} (\frac{1}{x})^{\frac{3}{2}})

lo g_{2} (\frac{x}{y ^{3}})

- lo g_{10} (4.5 \cdot 1 0^{- 3})

- lo g_{10} (6.88 \cdot 1 0^{- 4})

What is log_{10}(x)+log_{10}(x+3)-log_{10}(4) ?
The solution to log_{10}(x)+log_{10}(x+3)-log_{10}(4) is log_{10}((x(x+3))/4)