What is ln(sec(x)+tan(x))-ln(sec(x)) ?

The solution to ln(sec(x)+tan(x))-ln(sec(x)) is ln((sec(x)+tan(x))/(sec(x)))

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simplify ln(sec(x)+tan(x))-ln(sec(x))

simplify

ln (sec (x) + tan (x)) - ln (sec (x))

ln (\frac{sec ( x ) + tan ( x )}{sec ( x )})

Solution steps

ln (sec (x) + tan (x)) - ln (sec (x))

Apply log rule:

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

ln (sec (x) + tan (x)) - ln (sec (x)) = ln (\frac{sec ( x ) + tan ( x )}{sec ( x )})

= ln (\frac{sec ( x ) + tan ( x )}{sec ( x )})

ln (\frac{a ^{- 3}}{b ^{1} c ^{1}})

ln (1) - ln (\frac{1}{2})

lo g_{2} (6 m n^{4})

ln (\frac{6 H}{0.8 W + t})

ln (\frac{x ^{y} e ^{- x}}{y ! ( 1 - e ^{- x} )})

What is ln(sec(x)+tan(x))-ln(sec(x)) ?
The solution to ln(sec(x)+tan(x))-ln(sec(x)) is ln((sec(x)+tan(x))/(sec(x)))