en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-1/4 log_{3}(81)

Solution

simplify

- \frac{1}{4} lo g_{3} (81)

Solution

- 1

Solution steps

- \frac{1}{4} lo g_{3} (81)

Factor the number:

81 = 3^{4}

= - \frac{1}{4} lo g_{3} (3^{4})

Apply log rule:

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

lo g_{3} (3^{4}) = 4

= - \frac{1}{4} \cdot 4

- \frac{1}{4} \cdot 4 = - 1

= - 1

Popular Examples

simplify 11*\lfloor (-1)/(10)\rfloor simplify

11 \cdot ⌊ \frac{- 1}{10} ⌋

factor+a^2bc+ab^2c+abc^2 factor

+ a^{2} b c + a b^{2} c + ab c^{2}

factor 2n^2+5n-3 factor

2 n^{2} + 5 n - 3

simplify (10!)/(8!*2!)simplify

\frac{10 !}{8 ! \cdot 2 !}

expand (5x-7)(3x+2)expand

(5 x - 7) (3 x + 2)

Frequently Asked Questions (FAQ)

What is simplify-1/4 log_{3}(81) ?
The solution to simplify-1/4 log_{3}(81) is -1