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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

2

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

5 \cdot 20 = 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

(x + 10)^{3}

- \frac{15}{- 3}

(x + 1)^{- 1}

\frac{15}{- 5}

(\frac{k ( k + 1 )}{2})^{2} + (k + 1)^{3}

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