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

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

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

simplify

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

1

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

2 \cdot 5 = 10

= lo g_{10} (10)

Apply log rule:

lo g_{a} (a) = 1

= 1

\frac{lo g _{10} ( 5 )}{lo g _{10} ( 2 )}

(4 b^{2} + 3) (4 b^{2} - 3)

(1 + 6 i) (- 7 + 4 i)

\frac{49}{4}

\frac{7}{0}