What is log_{10}(6)+log_{10}(3) ?

The solution to log_{10}(6)+log_{10}(3) is log_{10}(18)

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simplify log_{10}(6)+log_{10}(3)

simplify

lo g_{10} (6) + lo g_{10} (3)

lo g_{10} (18)

Decimal Notation

1.25527 \dots

Solution steps

lo g_{10} (6) + lo g_{10} (3)

Apply log rule:

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

lo g_{10} (6) + lo g_{10} (3) = lo g_{10} (6 \cdot 3)

= lo g_{10} (6 \cdot 3)

Multiply the numbers:

6 \cdot 3 = 18

= lo g_{10} (18)

\frac{1}{2} ln (\frac{1}{2})

- lo g_{10} (3.8 \cdot 1 0^{- 4})

2 lo g_{10} (x) - 3 lo g_{10} (x y) - 4 lo g_{10} (y)

lo g_{4} (x^{2} - 64) - 6 lo g_{4} (x + 8)

5 ln (x) + \frac{1}{2} ln (y) - 7 ln (z)

What is log_{10}(6)+log_{10}(3) ?
The solution to log_{10}(6)+log_{10}(3) is log_{10}(18)