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Popular >

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

Solution

simplify

ln (x^{4} 5 - x)

Solution

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

Solution steps

ln (x^{4} 5 - x)

Apply log rule:

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

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

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

Apply log rule:

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

ln (x^{4}) = 4 ln (x)

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

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Frequently Asked Questions (FAQ)

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