What is 12ln(2x)-tan(4x) ?

The solution to 12ln(2x)-tan(4x) is 12ln(2)+12ln(x)-tan(4x)

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simplify 12ln(2x)-tan(4x)

simplify

12 ln (2 x) - tan (4 x)

12 ln (2) + 12 ln (x) - tan (4 x)

Solution steps

12 ln (2 x) - tan (4 x)

Apply log rule:

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

12 ln (2 x) = 12 ln (2) + 12 ln (x)

= 12 ln (2) + 12 ln (x) - tan (4 x)

- \frac{1}{5} ln (- 1) - \frac{1}{5} ln (3)

(\frac{1}{6}) \cdot ln (\frac{11.92}{8.2})

4.74472 + lo g_{10} (\frac{0.10774}{0.06322})

ln (\frac{6.2}{1.5})

ln (4 x e^{- x^{2}})

What is 12ln(2x)-tan(4x) ?
The solution to 12ln(2x)-tan(4x) is 12ln(2)+12ln(x)-tan(4x)