What is ln((sin(6x))/(cos(15x))) ?

The solution to ln((sin(6x))/(cos(15x))) is ln(sin(6x))-ln(cos(15x))

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simplify ln((sin(6x))/(cos(15x)))

simplify

ln (\frac{sin ( 6 x )}{cos ( 15 x )})

ln (sin (6 x)) - ln (cos (15 x))

Solution steps

ln (\frac{sin ( 6 x )}{cos ( 15 x )})

Apply log rule:

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

ln (\frac{sin ( 6 x )}{cos ( 15 x )}) = ln (sin (6 x)) - ln (cos (15 x))

= ln (sin (6 x)) - ln (cos (15 x))

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

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

ln (x^{2} \frac{x - 6}{2 x + 5})

ln ∣ L + V x ∣ - ln ∣ L ∣

ln (a + b) + ln (a - b)

What is ln((sin(6x))/(cos(15x))) ?
The solution to ln((sin(6x))/(cos(15x))) is ln(sin(6x))-ln(cos(15x))