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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (4) + ln (6) - ln (2)

ln (a + b) + 3 ln (a - b) - 3 ln (c)

ln (6 e^{2 x})

ln (\frac{x ^{2} y ^{3}}{z ^{4}})

ln (\frac{760}{120})

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