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}(81)

Solution

simplify

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

Solution

- 4

Solution steps

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

Apply log rule:

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

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

= - lo g_{3} (81)

Factor the number:

81 = 3^{4}

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

Apply log rule:

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

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

= - 4

Popular Examples

simplify (2sqrt(a)+5sqrt(b))+(3sqrt(a)-2sqrt(b))simplify

(2 a + 5 b) + (3 a - 2 b)

factor 9x^2-15x+4 factor

9 x^{2} - 15 x + 4

factor 125-x^3 factor

125 - x^{3}

10 = x + 5

2 x - 2 = 4 x + 6

Frequently Asked Questions (FAQ)

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