What is ln(x^2sqrt(1-x))+ln(x^2sqrt(1-x)) ?

The solution to ln(x^2sqrt(1-x))+ln(x^2sqrt(1-x)) is 4ln(x)+2ln(sqrt(-x+1))

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simplify ln(x^2sqrt(1-x))+ln(x^2sqrt(1-x))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

ln (x^{2}) + ln (1 - x) + ln (x^{2}) + ln (1 - x) : 2 ln (x^{2}) + 2 ln (- x + 1)

Apply log rule:

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

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

= 2 \cdot 2 ln (x) + 2 ln (- x + 1)

Multiply the numbers:

2 \cdot 2 = 4

= 4 ln (x) + 2 ln (- x + 1)

2 \cdot (ln (0.663) - ln (0.583))

24 ln (\frac{\frac{10000}{1500}}{2})

, 6 (- \frac{x}{3})^{\frac{1}{2 l n ( e )}}

5 lo g_{3} (x) + \frac{2}{3} lo g_{3} (y)

ln (\frac{x ( x ^{2} + 1 )}{x ^{2} + 1})

What is ln(x^2sqrt(1-x))+ln(x^2sqrt(1-x)) ?
The solution to ln(x^2sqrt(1-x))+ln(x^2sqrt(1-x)) is 4ln(x)+2ln(sqrt(-x+1))