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Popular >

simplify ln(p^5*q)

Solution

simplify

ln (p^{5} \cdot q)

Solution

5 ln (p) + ln (q)

Solution steps

ln (p^{5} q)

Apply log rule:

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

ln (p^{5} q) = ln (p^{5}) + ln (q)

= ln (p^{5}) + ln (q)

Apply log rule:

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

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

= 5 ln (p) + ln (q)

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Frequently Asked Questions (FAQ)

What is ln(p^5*q) ?
The solution to ln(p^5*q) is 5ln(p)+ln(q)