What is log_{10}(2)+log_{10}(12) ?

The solution to log_{10}(2)+log_{10}(12) is log_{10}(24)

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simplify log_{10}(2)+log_{10}(12)

simplify

lo g_{10} (2) + lo g_{10} (12)

lo g_{10} (24)

Decimal Notation

1.38021 \dots

Solution steps

lo g_{10} (2) + lo g_{10} (12)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (12) = lo g_{10} (2 \cdot 12)

= lo g_{10} (2 \cdot 12)

Multiply the numbers:

2 \cdot 12 = 24

= lo g_{10} (24)

\frac{lo g _{10} ( 8 ) 3 + lo g _{10} ( 9 ) 3}{lo g _{10} ( 6 )}

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

ln ((ln (x))^{x})

ln (2 e^{6})

ln (\frac{1 + 5}{2})

What is log_{10}(2)+log_{10}(12) ?
The solution to log_{10}(2)+log_{10}(12) is log_{10}(24)