What is simplify-ln(2/(cos(x))) ?

The solution to simplify-ln(2/(cos(x))) is -ln(2)+ln(cos(x))

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simplify-ln(2/(cos(x)))

simplify

- ln (\frac{2}{cos ( x )})

- ln (2) + ln (cos (x))

Solution steps

- ln (\frac{2}{cos ( x )})

Apply log rule:

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

ln (\frac{2}{cos ( x )}) = ln (2) - ln (cos (x))

= - (- ln (cos (x)) + ln (2))

Distribute parentheses

= - (ln (2)) - (- ln (cos (x)))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (2) + ln (cos (x))

lo g_{10} (6 x^{4})

ln (4 x) + ln (3 x)

- lo g_{10} (3.2 \cdot 1 0^{- 13})

ln (\frac{( x + 1 ) ^{2}}{x ( x + 2 )})

- 12 ln (3 + 5) + 12 ln (3 + 2)

What is simplify-ln(2/(cos(x))) ?
The solution to simplify-ln(2/(cos(x))) is -ln(2)+ln(cos(x))