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Popular >

simplify ln(-α(x-θ)^2)

Solution

simplify

ln (- α (x - θ)^{2})

Solution

ln (α) + 2 ln (x - θ)

Solution steps

ln (- α (x - θ)^{2})

Apply log rule:

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

ln (- α (x - θ)^{2}) = ln (α) + ln ((x - θ)^{2})

= ln (α) + ln ((x - θ)^{2})

Apply log rule:

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

ln ((x - θ)^{2}) = 2 ln (x - θ)

= ln (α) + 2 ln (x - θ)

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Frequently Asked Questions (FAQ)

What is ln(-α(x-θ)^2) ?
The solution to ln(-α(x-θ)^2) is ln(α)+2ln(x-θ)