en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(1/36)

Solution

simplify

lo g_{3} (\frac{1}{36})

Solution

- 2 lo g_{3} (6)

+1

Decimal Notation

- 3.26185 \dots

Solution steps

lo g_{3} (\frac{1}{36})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{3} (\frac{1}{36}) = lo g_{3} (1) - lo g_{3} (36)

= lo g_{3} (1) - lo g_{3} (36)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{3} (36)

0 - lo g_{3} (36) = - lo g_{3} (36)

= - lo g_{3} (36)

Simplify

lo g_{3} (36) : 2 lo g_{3} (6)

= - 2 lo g_{3} (6)

Popular Examples

simplify-800ln(47/50)simplify

- 800 ln (\frac{47}{50})

simplify ln((x^3y^4)/z)simplify

ln (\frac{x ^{3} y ^{4}}{z})

simplify ln(e*ln(1/e))simplify

ln (e \cdot ln (\frac{1}{e}))

simplify 1/3 ln(11/17)simplify

\frac{1}{3} ln (\frac{11}{17})

join 4030/33 ln(2)join

\frac{4030}{33} ln (2)

Frequently Asked Questions (FAQ)

What is log_{3}(1/36) ?
The solution to log_{3}(1/36) is -2log_{3}(6)