What is simplify-4ln(cos(x)xcos(x)) ?

The solution to simplify-4ln(cos(x)xcos(x)) is -8ln(cos(x))-4ln(x)

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simplify-4ln(cos(x)xcos(x))

simplify

- 4 ln (cos (x) x cos (x))

- 8 ln (cos (x)) - 4 ln (x)

Solution steps

- 4 ln (cos (x) x cos (x))

Apply log rule:

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

4 ln (cos (x) x cos (x)) = 4 ln (cos (x)) + 4 ln (x) + 4 ln (cos (x))

= - (4 ln (cos (x)) + 4 ln (x) + 4 ln (cos (x)))

Add similar elements:

4 ln (cos (x)) + 4 ln (cos (x)) = 8 ln (cos (x))

= - (8 ln (cos (x)) + 4 ln (x))

Distribute parentheses

= - (8 ln (cos (x))) - (4 ln (x))

Apply minus-plus rules

+ (- a) = - a

= - 8 ln (cos (x)) - 4 ln (x)

lo g_{7} (e^{- x} cos (π x))

ln^{1} (x) - ln^{6} (x)

ln ∣ p ∣ + ln ∣ p - 3 ∣

- \frac{1}{30} ln (\frac{1}{5})

ln (8 x^{2})

What is simplify-4ln(cos(x)xcos(x)) ?
The solution to simplify-4ln(cos(x)xcos(x)) is -8ln(cos(x))-4ln(x)