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Popular >

simplify 3ln(p)+7ln(1-p)

Solution

simplify

3 ln (p) + 7 ln (1 - p)

Solution

ln (p^{3} (1 - p)^{7})

Solution steps

3 ln (p) + 7 ln (1 - p)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (p) = ln (p^{3})

= ln (p^{3}) + 7 ln (- p + 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

7 ln (- p + 1) = ln ((- p + 1)^{7})

= ln (p^{3}) + ln ((- p + 1)^{7})

Apply log rule:

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

ln (p^{3}) + ln ((1 - p)^{7}) = ln (p^{3} (- p + 1)^{7})

= ln (p^{3} (1 - p)^{7})

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Frequently Asked Questions (FAQ)

What is 3ln(p)+7ln(1-p) ?
The solution to 3ln(p)+7ln(1-p) is ln(p^3(1-p)^7)