A squared logarithm

A squared logarithm

5 marks
TGM Original
Solve 2(ln(3x))2+ln(3x)-6=0. Give exact answers and then values to three significant figures.

Solution:

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Answer:\(x=\dfrac{\mathrm e^{3/2}}3\approx1.49\) or \(\dfrac{\mathrm e^{-2}}3\approx0.0451\).

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