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Popular >

simplify-ln(1/(cos(x)))

Solution

simplify

- ln (\frac{1}{cos ( x )})

Solution

ln (cos (x))

Solution steps

- ln (\frac{1}{cos ( x )})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{cos ( x )}) = ln (1) - ln (cos (x))

= - (- ln (cos (x)) + ln (1))

Apply log rule:

lo g_{a} (1) = 0

= - (- ln (cos (x)) + 0)

Refine

= ln (cos (x))

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Frequently Asked Questions (FAQ)

What is simplify-ln(1/(cos(x))) ?
The solution to simplify-ln(1/(cos(x))) is ln(cos(x))