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Popular >

simplify 4ln(θ)+9ln(1-θ)

Solution

simplify

4 ln (θ) + 9 ln (1 - θ)

Solution

ln (θ^{4} (1 - θ)^{9})

Solution steps

4 ln (θ) + 9 ln (1 - θ)

Apply log rule:

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

4 ln (θ) = ln (θ^{4})

= ln (θ^{4}) + 9 ln (- θ + 1)

Apply log rule:

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

9 ln (- θ + 1) = ln ((- θ + 1)^{9})

= ln (θ^{4}) + ln ((- θ + 1)^{9})

Apply log rule:

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

ln (θ^{4}) + ln ((1 - θ)^{9}) = ln (θ^{4} (- θ + 1)^{9})

= ln (θ^{4} (1 - θ)^{9})

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Frequently Asked Questions (FAQ)

What is 4ln(θ)+9ln(1-θ) ?
The solution to 4ln(θ)+9ln(1-θ) is ln(θ^4(1-θ)^9)