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Popular >

simplify ln(x^5sqrt(7-x))

Solution

simplify

ln (x^{5} 7 - x)

Solution

5 ln (x) + ln (7 - x)

Solution steps

ln (x^{5} 7 - x)

Apply log rule:

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

ln (x^{5} 7 - x) = ln (x^{5}) + ln (7 - x)

= ln (x^{5}) + ln (- x + 7)

Apply log rule:

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

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

= 5 ln (x) + ln (7 - x)

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Frequently Asked Questions (FAQ)

What is ln(x^5sqrt(7-x)) ?
The solution to ln(x^5sqrt(7-x)) is 5ln(x)+ln(sqrt(7-x))