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Popular >

simplify ln(x^5sqrt(4-x))

Solution

simplify

ln (x^{5} 4 - x)

Solution

5 ln (x) + ln (4 - x)

Solution steps

ln (x^{5} 4 - x)

Apply log rule:

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

ln (x^{5} 4 - x) = ln (x^{5}) + ln (4 - x)

= ln (x^{5}) + ln (- x + 4)

Apply log rule:

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

ln (x^{5}) = 5 ln (x)

= 5 ln (x) + ln (4 - x)

Popular Examples

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\frac{1}{2} lo g_{10} (x + 3) + \frac{1}{2} lo g_{10} (x + 2)

simplify 0.19-(8.314*298)/(96500)ln(x/2)simplify

0.19 - \frac{8.314 \cdot 298}{96500} ln (\frac{x}{2})

simplify log_{4}(3^2)-log_{4}(5)+2log_{4}(10)simplify

lo g_{4} (3^{2}) - lo g_{4} (5) + 2 lo g_{4} (10)

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Frequently Asked Questions (FAQ)

What is ln(x^5sqrt(4-x)) ?
The solution to ln(x^5sqrt(4-x)) is 5ln(x)+ln(sqrt(4-x))