en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 6ln(x)+ln(sqrt(y))

Solution

simplify

6 ln (x) + ln (y)

Solution

ln (x^{6} y)

Solution steps

6 ln (x) + ln (y)

Apply log rule:

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

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

= ln (x^{6}) + ln (y)

Apply log rule:

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

ln (x^{6}) + ln (y) = ln (x^{6} y)

= ln (x^{6} y)

Popular Examples

simplify ln(4x-4)-2ln(x)simplify

ln (4 x - 4) - 2 ln (x)

simplify 1+2log_{10}(x)-log_{10}(x+2)simplify

1 + 2 lo g_{10} (x) - lo g_{10} (x + 2)

simplify ln(1/(-2))simplify

ln (\frac{1}{- 2})

simplify ln(50/60)simplify

ln (\frac{50}{60})

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

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

Frequently Asked Questions (FAQ)

What is 6ln(x)+ln(sqrt(y)) ?
The solution to 6ln(x)+ln(sqrt(y)) is ln(x^6sqrt(y))