en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{0.2}(5)

Solution

simplify

lo g_{0.2} (5)

Solution

- 1

Solution steps

lo g_{0.2} (5)

0.2 = 5^{- 1}

= lo g_{5^{- 1}} (5)

Apply log rule

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

assuming

a \geq 0

= \frac{1}{- 1} lo g_{5} (5)

Apply log rule:

lo g_{a} (a) = 1

= \frac{1}{- 1}

Simplify

= - 1

Popular Examples

e^{\frac{1}{( x - y )}}

simplify 3^{log_{3}(9)}simplify

3^{l o g_{3} (9)}

simplify (x^3-2x^2-5x+6)/(x-3)simplify

\frac{x ^{3} - 2 x ^{2} - 5 x + 6}{x - 3}

simplify 20*7 simplify

20 \cdot 7

simplify ((sqrt(3))/3+5/2 i)^2 simplify

(\frac{3}{3} + \frac{5}{2} i)^{2}

Frequently Asked Questions (FAQ)

What is log_{0.2}(5) ?
The solution to log_{0.2}(5) is -1