en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{1/3}(27)

Solution

simplify

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

Solution

- 3

Solution steps

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

Apply log rule:

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

lo g_{\frac{1}{3}} (27) = - lo g_{3} (27)

= - lo g_{3} (27)

Factor the number:

27 = 3^{3}

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

Apply log rule:

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

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

= - 3

Popular Examples

\frac{- 3 - 4}{- 3 + 7}

factor 16xy+12x+12y+9 factor

16 x y + 12 x + 12 y + 9

factor a^2+4a-5 factor

a^{2} + 4 a - 5

factor 640-10\times 2 factor

640 - 10 \times 2

factor 25x^2+70xy+49y^2 factor

25 x^{2} + 70 x y + 49 y^{2}

Frequently Asked Questions (FAQ)

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