Question

Help (ln(2x))(3ln(2x)-4)=5

Answer 1

let)ln(2x) = t , then t(3t-4)=5

i) 3t^2 - 4t - 5 = 0 (x>0)

then you will see that thi eq cannot factor. so use quadratic formula explicity

t= (\[\frac{ 4\pm \sqrt{19} }{ 3 }\]

so, t=ln2x actually.

answer => x=[e^{4+root(19)}/3] or x=[e^{4-root(19)}/3]