en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 12log_{3}(1/27)

Solution

simplify

12 lo g_{3} (\frac{1}{27})

Solution

- 36

Solution steps

12 lo g_{3} (\frac{1}{27})

\frac{1}{27} = 3^{- 3}

= 12 lo g_{3} (3^{- 3})

Apply log rule:

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

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

= 12 (- 3)

Multiply the numbers:

12 (- 3) = - 36

= - 36

Popular Examples

simplify 4\times 4\times 4\times 4\times 4 simplify

4 \times 4 \times 4 \times 4 \times 4

simplify 2\times 2\times 2\times 2\times 2 simplify

2 \times 2 \times 2 \times 2 \times 2

simplify 13/52 simplify

\frac{13}{52}

simplify sqrt(3(\sqrt{3)-1)^2}simplify

3 (3 - 1)^{2}

simplify (6^47^2)/(6^37^3)simplify

\frac{6 ^{4} 7 ^{2}}{6 ^{3} 7 ^{3}}

Frequently Asked Questions (FAQ)

What is 12log_{3}(1/27) ?
The solution to 12log_{3}(1/27) is -36