en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^6sqrt(7-x))

Solution

simplify

ln (x^{6} 7 - x)

Solution

6 ln (x) + ln (7 - x)

Solution steps

ln (x^{6} 7 - x)

Apply log rule:

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

ln (x^{6} 7 - x) = ln (x^{6}) + ln (7 - x)

= ln (x^{6}) + ln (- x + 7)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 6 ln (x) + ln (7 - x)

Popular Examples

simplify-log_{10}(7.9*10^{-9})simplify

- lo g_{10} (7.9 \cdot 1 0^{- 9})

simplify log_{2}(xy)-1/3 log_{2}(x^2)simplify

lo g_{2} (x y) - \frac{1}{3} lo g_{2} (x^{2})

domain of f(x)=ln((3^x6^{3x})/(2^{3x)})domain

f (x) = ln (\frac{3 ^{x} 6 ^{3 x}}{2 ^{3 x}})

simplify 1/2 log_{10}(x)-log_{10}(2)-7log_{10}(m)simplify

\frac{1}{2} lo g_{10} (x) - lo g_{10} (2) - 7 lo g_{10} (m)

simplify (2ln(2))/(ln(2)-ln(3))simplify

\frac{2 ln ( 2 )}{ln ( 2 ) - ln ( 3 )}

Frequently Asked Questions (FAQ)

What is ln(x^6sqrt(7-x)) ?
The solution to ln(x^6sqrt(7-x)) is 6ln(x)+ln(sqrt(7-x))