en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{100}(10)

Solution

simplify

lo g_{100} (10)

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

lo g_{100} (10)

Factor the number:

100 = 1 0^{2}

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

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

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

= \frac{1}{2} lo g_{10} (10)

Apply log rule:

lo g_{a} (a) = 1

lo g_{10} (10) = 1

= \frac{1}{2} \cdot 1

Multiply the numbers:

\frac{1}{2} \cdot 1 = \frac{1}{2}

= \frac{1}{2}

Popular Examples

simplify \sqrt[4]{15}simplify

-3(5a+8)-28=-112

- 3 (5 a + 8) - 28 = - 112

4 x > 36

(x + 6) (x + 3) = 0

simplify (4x)^{-2/3}simplify

(4 x)^{- \frac{2}{3}}

Frequently Asked Questions (FAQ)

What is log_{100}(10) ?
The solution to log_{100}(10) is 1/2