What is log_{10}(5)+log_{10}(2) ?

The solution to log_{10}(5)+log_{10}(2) is 1

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simplify log_{10}(5)+log_{10}(2)

simplify

lo g_{10} (5) + lo g_{10} (2)

1

Solution steps

lo g_{10} (5) + lo g_{10} (2)

Apply log rule:

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

lo g_{10} (5) + lo g_{10} (2) = lo g_{10} (5 \cdot 2)

= lo g_{10} (5 \cdot 2)

Multiply the numbers:

5 \cdot 2 = 10

= lo g_{10} (10)

Apply log rule:

lo g_{a} (a) = 1

= 1

36 b^{2} - 100

2 x^{2} + 6 x + 4 > 0

ln (e^{- 5})

lo g_{5} (5)

\frac{- 3}{1 - x} < 9