What is log_{10}(20)-log_{10}(4) ?

The solution to log_{10}(20)-log_{10}(4) is log_{10}(5)

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simplify log_{10}(20)-log_{10}(4)

simplify

lo g_{10} (20) - lo g_{10} (4)

lo g_{10} (5)

Decimal Notation

0.69897 \dots

Solution steps

lo g_{10} (20) - lo g_{10} (4)

Apply log rule:

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

lo g_{10} (20) - lo g_{10} (4) = lo g_{10} (\frac{20}{4})

= lo g_{10} (\frac{20}{4})

Divide the numbers:

\frac{20}{4} = 5

= lo g_{10} (5)

lo g_{10} (200 \cdot 0. 1^{x}) + lo g_{10} (500 \cdot 100 0^{y})

- lo g_{10} (2 \cdot 1 0^{- 9})

lo g_{10} (x) + lo g_{10} (x - 1)

lo g_{2} (\frac{8 x ^{3}}{2 y})

What is log_{10}(20)-log_{10}(4) ?
The solution to log_{10}(20)-log_{10}(4) is log_{10}(5)