What is log_{10}(15/5)+log_{10}(2/5) ?

The solution to log_{10}(15/5)+log_{10}(2/5) is log_{10}(6/5)

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simplify log_{10}(15/5)+log_{10}(2/5)

simplify

lo g_{10} (\frac{15}{5}) + lo g_{10} (\frac{2}{5})

lo g_{10} (\frac{6}{5})

Decimal Notation

0.07918 \dots

Solution steps

lo g_{10} (\frac{15}{5}) + lo g_{10} (\frac{2}{5})

Apply log rule:

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

lo g_{10} (\frac{15}{5}) + lo g_{10} (\frac{2}{5}) = lo g_{10} (\frac{15}{5} \cdot \frac{2}{5})

= lo g_{10} (\frac{15}{5} \cdot \frac{2}{5})

\frac{15}{5} \cdot \frac{2}{5} = \frac{6}{5}

= lo g_{10} (\frac{6}{5})

- (\frac{1}{7}) lo g_{2} (\frac{1}{7}) - (\frac{6}{7}) lo g_{2} (\frac{6}{7})

\frac{1}{3} lo g_{c} (x) + 3 lo g_{c} (y) - 2 lo g_{c} (x)

- lo g_{10} (5.2 \cdot 1 0^{- 8})

3 lo g_{5} (x - 1) - lo g_{5} (3 - 6 x)

What is log_{10}(15/5)+log_{10}(2/5) ?
The solution to log_{10}(15/5)+log_{10}(2/5) is log_{10}(6/5)