en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^6)-ln(x)

Solution

simplify

ln (x^{6}) - ln (x)

Solution

ln (x^{5})

Solution steps

ln (x^{6}) - ln (x)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (x^{6}) - ln (x) = ln (\frac{x ^{6}}{x})

= ln (\frac{x ^{6}}{x})

Cancel the common factor:

x

= ln (x^{5})

Popular Examples

expand log_{x}((a)(4))expand

lo g_{x} ((a) (4))

simplify log_{a}(M/N)simplify

lo g_{a} (\frac{M}{N})

simplify 2log_{3}(2)+log_{3}(5)simplify

2 lo g_{3} (2) + lo g_{3} (5)

simplify ln((x^2+5x+6)/((x+3)(x-2)))simplify

ln (\frac{x ^{2} + 5 x + 6}{( x + 3 ) ( x - 2 )})

simplify 9ln(cos^2(t))+9ln(1+tan^2(t))simplify

9 ln (cos^{2} (t)) + 9 ln (1 + tan^{2} (t))

Frequently Asked Questions (FAQ)

What is ln(x^6)-ln(x) ?
The solution to ln(x^6)-ln(x) is ln(x^5)