en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{a}(1/6)

Solution

simplify

lo g_{a} (\frac{1}{6})

Solution

- lo g_{a} (6)

Solution steps

lo g_{a} (\frac{1}{6})

\frac{1}{6} = 6^{- 1}

= lo g_{a} (6^{- 1})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{a} (6^{- 1}) = - 1 \cdot lo g_{a} (6)

= - 1 \cdot lo g_{a} (6)

Apply rule:

1 \cdot a = a

= - lo g_{a} (6)

Popular Examples

expand log_{3}(9/(sqrt(x+5)))expand

lo g_{3} (\frac{9}{x + 5})

simplify log_{5}(x\sqrt[3]{x+8})simplify

simplify log_{a}(75)+log_{a}(2)simplify

lo g_{a} (75) + lo g_{a} (2)

simplify 1/2 (ln(x)-ln(y))simplify

\frac{1}{2} (ln (x) - ln (y))

simplify log_{10}(5)-log_{10}(4)simplify

lo g_{10} (5) - lo g_{10} (4)

Frequently Asked Questions (FAQ)

What is log_{a}(1/6) ?
The solution to log_{a}(1/6) is -log_{a}(6)