What is log_{10}(20)+log_{10}(30) ?

The solution to log_{10}(20)+log_{10}(30) is log_{10}(600)

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simplify log_{10}(20)+log_{10}(30)

simplify

lo g_{10} (20) + lo g_{10} (30)

lo g_{10} (600)

Decimal Notation

2.77815 \dots

Solution steps

lo g_{10} (20) + lo g_{10} (30)

Apply log rule:

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

lo g_{10} (20) + lo g_{10} (30) = lo g_{10} (20 \cdot 30)

= lo g_{10} (20 \cdot 30)

Multiply the numbers:

20 \cdot 30 = 600

= lo g_{10} (600)

\frac{1}{2} [1 + lo g_{2} (a) - lo g_{2} (b) - lo g_{2} (3)]

lo g_{a} (\frac{x ^{2} y}{z})

ln (\frac{x}{3 y})

lo g_{10} (9) + lo g_{10} (5) - lo g_{10} (15)

What is log_{10}(20)+log_{10}(30) ?
The solution to log_{10}(20)+log_{10}(30) is log_{10}(600)