en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(3x)+ln(x-1)

Solution

simplify

2 ln (3 x) + ln (x - 1)

Solution

ln (9 x^{2} (x - 1))

Solution steps

2 ln (3 x) + ln (x - 1)

Apply log rule:

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

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

= ln ((3 x)^{2}) + ln (x - 1)

Apply log rule:

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

ln ((3 x)^{2}) + ln (x - 1) = ln ((3 x)^{2} (x - 1))

= ln ((3 x)^{2} (x - 1))

Simplify

(3 x)^{2} (x - 1) : 9 x^{2} (x - 1)

= ln (9 x^{2} (x - 1))

Popular Examples

simplify ln(10.1)-ln(760)simplify

ln (10.1) - ln (760)

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

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

simplify-log_{10}(3.98(10^{-8}))simplify

- lo g_{10} (3.98 (1 0^{- 8}))

simplify ln((sqrt(5))/(4m^8))simplify

ln (\frac{5}{4 m ^{8}})

simplify ln(54000/50000)simplify

ln (\frac{54000}{50000})

Frequently Asked Questions (FAQ)

What is 2ln(3x)+ln(x-1) ?
The solution to 2ln(3x)+ln(x-1) is ln(9x^2(x-1))