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}(0.008)

Solution

simplify

lo g_{0.2} (0.008)

Solution

3

Solution steps

lo g_{0.2} (0.008)

Convert

0.2

to a fraction:

\frac{1}{5}

= lo g_{\frac{1}{5}} (0.008)

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

= - lo g_{5} (0.008)

Refine to a decimal form

= - (- 3)

Apply rule

- (- a) = a

= 3

Popular Examples

expand (3x^2-5x+3)(-2x^2-3x+2)expand

(3 x^{2} - 5 x + 3) (- 2 x^{2} - 3 x + 2)

factor 3x^2+108 factor

3 x^{2} + 108

simplify (8x^2y^2)/(4x^5y^4)simplify

\frac{8 x ^{2} y ^{2}}{4 x ^{5} y ^{4}}

simplify 11/3-1 simplify

\frac{11}{3} - 1

simplify sqrt(6)\times sqrt(10)simplify

6 \times 10

Frequently Asked Questions (FAQ)

What is log_{0.2}(0.008) ?
The solution to log_{0.2}(0.008) is 3