What is ln((cos(x))/(cos(x)-1)) ?

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

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

simplify

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

ln (cos (x)) - ln (cos (x) - 1)

Solution steps

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

Apply log rule:

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

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

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

ln (2) - ln (7)

lo g_{10} (\frac{( x ^{9} y ^{5} )}{( z ^{3} )})

ln (\frac{11782}{1000})

lo g_{3} (x yz)

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