What is simplify-ln(-yln(1-ρ)) ?

The solution to simplify-ln(-yln(1-ρ)) is -ln(y)-ln(ln(1-ρ))

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simplify-ln(-yln(1-ρ))

simplify

- ln (- y ln (1 - ρ))

- ln (y) - ln (ln (1 - ρ))

Solution steps

- ln (- y ln (1 - ρ))

Apply log rule:

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

ln (- y ln (1 - ρ)) = ln (y) + ln (ln (1 - ρ))

= - (ln (y) + ln (ln (- ρ + 1)))

Distribute parentheses

= - (ln (y)) - (ln (ln (1 - ρ)))

Apply minus-plus rules

+ (- a) = - a

= - ln (y) - ln (ln (1 - ρ))

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What is simplify-ln(-yln(1-ρ)) ?
The solution to simplify-ln(-yln(1-ρ)) is -ln(y)-ln(ln(1-ρ))