en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(4)ln(8)ln(16)

Solution

simplify

ln (4) ln (8) ln (16)

Solution

24 ln^{3} (2)

+1

Decimal Notation

7.99259 \dots

Solution steps

ln (4) ln (8) ln (16)

Simplify

ln (4) : 2 ln (2)

= 2 ln (2) ln (8) ln (16)

Simplify

ln (8) : 3 ln (2)

= 2 \cdot 3 ln (2) ln (2) ln (16)

Simplify

ln (16) : 4 ln (2)

= 2 \cdot 3 \cdot 4 ln (2) ln (2) ln (2)

Multiply the numbers:

2 \cdot 3 \cdot 4 = 24

= 24 ln (2) ln (2) ln (2)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

ln (2) ln (2) ln (2) = ln^{1 + 1 + 1} (2)

= 24 ln^{1 + 1 + 1} (2)

Add the numbers:

1 + 1 + 1 = 3

= 24 ln^{3} (2)

Popular Examples

simplify log_{sqrt(8)}(4)simplify

lo g_{8} (4)

simplify 0.1^{10}simplify

0. 1^{10}

simplify \sqrt[3]{216x^{12}}simplify

simplify 4^2\times 4^2 simplify

4^{2} \times 4^{2}

factor p^2-17p+66 factor

p^{2} - 17 p + 66

Frequently Asked Questions (FAQ)

What is ln(4)ln(8)ln(16) ?
The solution to ln(4)ln(8)ln(16) is 24ln^3(2)