What is log_{10}(12)+log_{10}(6) ?

The solution to log_{10}(12)+log_{10}(6) is log_{10}(72)

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simplify log_{10}(12)+log_{10}(6)

simplify

lo g_{10} (12) + lo g_{10} (6)

lo g_{10} (72)

Decimal Notation

1.85733 \dots

Solution steps

lo g_{10} (12) + lo g_{10} (6)

Apply log rule:

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

lo g_{10} (12) + lo g_{10} (6) = lo g_{10} (12 \cdot 6)

= lo g_{10} (12 \cdot 6)

Multiply the numbers:

12 \cdot 6 = 72

= lo g_{10} (72)

lo g_{10} (y^{7} x z^{3})

ln ∣ 3 - 2 ∣ - \frac{3}{2} ln ∣ 2 (3) - 1 ∣ + 2 ln ∣ 3 + 3 ∣

lo g_{5} (\frac{x}{25 y ^{3}})

ln (3) + ln (x)

2 ln (3) - 3 ln (2)

What is log_{10}(12)+log_{10}(6) ?
The solution to log_{10}(12)+log_{10}(6) is log_{10}(72)