What is log_{10}(2)+log_{10}(6) ?

The solution to log_{10}(2)+log_{10}(6) is log_{10}(12)

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simplify log_{10}(2)+log_{10}(6)

simplify

lo g_{10} (2) + lo g_{10} (6)

lo g_{10} (12)

Decimal Notation

1.07918 \dots

Solution steps

lo g_{10} (2) + lo g_{10} (6)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (6) = lo g_{10} (2 \cdot 6)

= lo g_{10} (2 \cdot 6)

Multiply the numbers:

2 \cdot 6 = 12

= lo g_{10} (12)

\frac{15}{4} ln (\frac{2}{5})

lo g_{10} (\frac{x ^{4}}{y})

lo g_{4} (\frac{64}{x + 8})

4 ln (x) + 2 ln (y) - 5 ln (z)

4 lo g_{3} (x) - \frac{1}{3} lo g_{3} (x + 6)

What is log_{10}(2)+log_{10}(6) ?
The solution to log_{10}(2)+log_{10}(6) is log_{10}(12)