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Popular >

simplify ln(θx^{(-x-θ)})

Solution

simplify

ln (θ x^{(- x - θ)})

Solution

ln (θ) + (- x - θ) ln (x)

Solution steps

ln (θ x^{(- x - θ)})

Apply log rule:

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

ln (θ x^{(- x - θ)}) = ln (θ) + ln (x^{(- x - θ)})

= ln (θ) + ln (x^{(- θ - x)})

Apply log rule:

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

ln (x^{(- x - θ)}) = (- x - θ) ln (x)

= ln (θ) + (- x - θ) ln (x)

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Frequently Asked Questions (FAQ)

What is ln(θx^{(-x-θ)}) ?
The solution to ln(θx^{(-x-θ)}) is ln(θ)+(-x-θ)ln(x)