en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(\sqrt[3]{0.99})

Solution

simplify

Solution

- 0.00335 \dots

Solution steps

Rewrite as

= ln (0.9 9^{\frac{1}{3}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{3} ln (0.99)

Simplify

ln (0.99) : - 0.01005 \dots

= (- 0.01005 \dots) \frac{1}{3}

Simplify

= - 0.00335 \dots

Popular Examples

simplify (x+b/(2a))^2 simplify

(x + \frac{b}{2 a})^{2}

simplify 2/4-1 simplify

\frac{2}{4} - 1

expand (x+2)^2(x-2)expand

(x + 2)^{2} (x - 2)

simplify (5^8*25)/(5^{10)}simplify

\frac{5 ^{8} \cdot 25}{5 ^{10}}

simplify sin^2(arcsin(x))simplify

sin^{2} (arcsin (x))

Frequently Asked Questions (FAQ)

What is ln(\sqrt[3]{0.99}) ?
The solution to ln(\sqrt[3]{0.99}) is -0.00335…