What is log_{10}(20)+log_{10}(5) ?

The solution to log_{10}(20)+log_{10}(5) is 2

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simplify log_{10}(20)+log_{10}(5)

simplify

lo g_{10} (20) + lo g_{10} (5)

2

Solution steps

lo g_{10} (20) + lo g_{10} (5)

Apply log rule:

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

lo g_{10} (20) + lo g_{10} (5) = lo g_{10} (20 \cdot 5)

= lo g_{10} (20 \cdot 5)

Multiply the numbers:

20 \cdot 5 = 100

= lo g_{10} (100)

Factor the number:

100 = 1 0^{2}

= lo g_{10} (1 0^{2})

Apply log rule:

lo g_{a} (a^{b}) = b

= 2

9 x^{2} + 27 x + 20

4 x^{2} - 10 x

∣ 5 - 3 x ∣ \geq - 9

4 (x - 7)^{2} - 42 = - 22

93 < s - 31

What is log_{10}(20)+log_{10}(5) ?
The solution to log_{10}(20)+log_{10}(5) is 2