en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(300)

Solution

simplify

lo g_{10} (300)

Solution

2 + lo g_{10} (3)

+1

Decimal Notation

2.47712 \dots

Solution steps

lo g_{10} (300)

Factor the number:

300 = 1 0^{2} \cdot 3

= lo g_{10} (1 0^{2} \cdot 3)

Apply log rule:

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

lo g_{10} (1 0^{2} \cdot 3) = lo g_{10} (1 0^{2}) + lo g_{10} (3)

= lo g_{10} (1 0^{2}) + lo g_{10} (3)

Apply log rule:

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

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

= 2 + lo g_{10} (3)

Popular Examples

expand (-3-x)^2 expand

(- 3 - x)^{2}

simplify-1^{1/2}simplify

- 1^{\frac{1}{2}}

simplify ((18r^5+36r^4+27r^3))/(9r)simplify

\frac{( 18 r ^{5} + 36 r ^{4} + 27 r ^{3} )}{9 r}

expand (a-6)^2 expand

(a - 6)^{2}

8 \frac{3}{4}

Frequently Asked Questions (FAQ)

What is log_{10}(300) ?
The solution to log_{10}(300) is 2+log_{10}(3)