What is ln(sec^2(2x)cos^3(2x)) ?

The solution to ln(sec^2(2x)cos^3(2x)) is ln(sec^2(2x))+ln(cos^3(2x))

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simplify ln(sec^2(2x)cos^3(2x))

simplify

ln (sec^{2} (2 x) cos^{3} (2 x))

ln (sec^{2} (2 x)) + ln (cos^{3} (2 x))

Solution steps

ln (sec^{2} (2 x) cos^{3} (2 x))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (sec^{2} (2 x) cos^{3} (2 x)) = ln (sec^{2} (2 x)) + ln (cos^{3} (2 x))

= ln (sec^{2} (2 x)) + ln (cos^{3} (2 x))

2 lo g_{10} (x) - (3 lo g_{10} (y) + lo g_{10} (z))

ln (5) + \frac{1}{3} ln (64)

lo g_{2} ((x y)^{10})

9 ln (x) - 2 ln (y) + 5 ln (z^{3})

lo g_{4} (\frac{1}{16} x^{2} y^{3})

What is ln(sec^2(2x)cos^3(2x)) ?
The solution to ln(sec^2(2x)cos^3(2x)) is ln(sec^2(2x))+ln(cos^3(2x))