en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(|x|^2)+2ln|x|

Solution

simplify

ln (∣ x ∣^{2}) + 2 ln ∣ x ∣

Solution

ln (x^{4})

Solution steps

ln (∣ x ∣^{2}) + 2 ln ∣ x ∣

Apply log rule:

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

2 ln ∣ x ∣ = ln (∣ x ∣^{2})

= ln (∣ x ∣^{2}) + ln (∣ x ∣^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (∣ x ∣^{2}) + ln (∣ x ∣^{2}) = ln (∣ x ∣^{2} ∣ x ∣^{2})

= ln (∣ x ∣^{2} ∣ x ∣^{2})

Simplify

∣ x ∣^{2} ∣ x ∣^{2} : x^{4}

= ln (x^{4})

Popular Examples

simplify x+ln(x)+5-ln(2)simplify

x + ln (x) + 5 - ln (2)

simplify log_{10}(x^2-2x+8)-2log_{10}(x)simplify

lo g_{10} (x^{2} - 2 x + 8) - 2 lo g_{10} (x)

simplify ln(1.875)+0.6*ln(1.125)simplify

ln (1.875) + 0.6 \cdot ln (1.125)

simplify ln(8e^{4k})simplify

ln (8 e^{4 k})

simplify 0.35-0.058*ln(-(25+50.555)*ln(0.4365))simplify

0.35 - 0.058 \cdot ln (- (25 + 50.555) \cdot ln (0.4365))

Frequently Asked Questions (FAQ)

What is ln(|x|^2)+2ln|x| ?
The solution to ln(|x|^2)+2ln|x| is ln(x^4)