en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(12x-36)-2ln(x)

Solution

simplify

ln (12 x - 36) - 2 ln (x)

Solution

ln (\frac{12 x - 36}{x ^{2}})

Solution steps

ln (12 x - 36) - 2 ln (x)

Apply log rule:

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

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

= ln (12 x - 36) - ln (x^{2})

Apply log rule:

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

ln (12 x - 36) - ln (x^{2}) = ln (\frac{12 x - 36}{x ^{2}})

= ln (\frac{12 x - 36}{x ^{2}})

Popular Examples

join 2log_{b/a}(a)join

2 lo g_{\frac{b}{a}} (a)

simplify-ln(10*2)+1 simplify

- ln (10 \cdot 2) + 1

simplify 10ln(u)-2ln(v)simplify

10 ln (u) - 2 ln (v)

simplify ln(-4/5 e^{5x})simplify

ln (- \frac{4}{5} e^{5 x})

simplify 3ln(x^2)+ln(x)simplify

3 ln (x^{2}) + ln (x)

Frequently Asked Questions (FAQ)

What is ln(12x-36)-2ln(x) ?
The solution to ln(12x-36)-2ln(x) is ln((12x-36)/(x^2))