What is log_{10}(4)+log_{10}(5)+log_{10}(3) ?

The solution to log_{10}(4)+log_{10}(5)+log_{10}(3) is log_{10}(60)

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simplify log_{10}(4)+log_{10}(5)+log_{10}(3)

simplify

lo g_{10} (4) + lo g_{10} (5) + lo g_{10} (3)

lo g_{10} (60)

Decimal Notation

1.77815 \dots

Solution steps

lo g_{10} (4) + 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} (4) + lo g_{10} (5) = lo g_{10} (4 \cdot 5)

= lo g_{10} (4 \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} (4 \cdot 5) + lo g_{10} (3) = lo g_{10} (4 \cdot 5 \cdot 3)

= lo g_{10} (4 \cdot 5 \cdot 3)

Multiply the numbers:

4 \cdot 5 \cdot 3 = 60

= lo g_{10} (60)

lo g_{2} (2 x) - lo g_{2} (x + 1)

ln (\frac{e}{4})

lo g_{m} (m x^{2})

ln (2) + x ln (x) + x - 2 ln (x - 1) - 3

ln (\frac{x ^{2} x ^{2} + 7}{( x + 7 ) ^{9}})

What is log_{10}(4)+log_{10}(5)+log_{10}(3) ?
The solution to log_{10}(4)+log_{10}(5)+log_{10}(3) is log_{10}(60)