What is log_{10}(4)+log_{10}(2)-log_{10}(5) ?

The solution to log_{10}(4)+log_{10}(2)-log_{10}(5) is log_{10}(8/5)

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simplify log_{10}(4)+log_{10}(2)-log_{10}(5)

simplify

lo g_{10} (4) + lo g_{10} (2) - lo g_{10} (5)

lo g_{10} (\frac{8}{5})

Decimal Notation

0.20411 \dots

Solution steps

lo g_{10} (4) + lo g_{10} (2) - lo g_{10} (5)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (2) - lo g_{10} (5) = lo g_{10} (\frac{2}{5})

= lo g_{10} (4) + lo g_{10} (\frac{2}{5})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (4) + lo g_{10} (\frac{2}{5}) = lo g_{10} (4 \cdot \frac{2}{5})

= lo g_{10} (4 \cdot \frac{2}{5})

4 \cdot \frac{2}{5} = \frac{8}{5}

= lo g_{10} (\frac{8}{5})

1000 ln (\frac{1}{5} 20 + 25 + 2 0^{2})

3 lo g_{5} (x + 1) - \frac{1}{2} lo g_{5} (w) + 3

- \frac{1}{70} ln (\frac{4.3 ( 2.3 )}{6.7 ( 8.7 )})

\frac{1}{2} lo g_{10} (x) - 4 lo g_{10} (y)

\frac{- 2 ln ( 5 )}{ln ( 5 ) - 2 ln ( 2 )}

What is log_{10}(4)+log_{10}(2)-log_{10}(5) ?
The solution to log_{10}(4)+log_{10}(2)-log_{10}(5) is log_{10}(8/5)