What is log_{10}(8)+log_{10}(5)+log_{10}(3) ?

The solution to log_{10}(8)+log_{10}(5)+log_{10}(3) is log_{10}(120)

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simplify log_{10}(8)+log_{10}(5)+log_{10}(3)

simplify

lo g_{10} (8) + lo g_{10} (5) + lo g_{10} (3)

lo g_{10} (120)

Decimal Notation

2.07918 \dots

Solution steps

lo g_{10} (8) + lo g_{10} (5) + lo g_{10} (3)

Apply log rule:

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

lo g_{10} (8) + lo g_{10} (5) = lo g_{10} (8 \cdot 5)

= lo g_{10} (8 \cdot 5) + lo g_{10} (3)

Apply log rule:

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

lo g_{10} (8 \cdot 5) + lo g_{10} (3) = lo g_{10} (8 \cdot 5 \cdot 3)

= lo g_{10} (8 \cdot 5 \cdot 3)

Multiply the numbers:

8 \cdot 5 \cdot 3 = 120

= lo g_{10} (120)

lo g_{6} (36 x^{3})

lo g_{10} (\frac{1}{2} x)

ln^{2} (x) - ln^{2} (y)

lo g_{6} (\frac{( w ^{2} )}{4})

What is log_{10}(8)+log_{10}(5)+log_{10}(3) ?
The solution to log_{10}(8)+log_{10}(5)+log_{10}(3) is log_{10}(120)