solve-an-equation-ln-x-ln-x-

Question Number 212123 by MrGaster last updated on 02/Oct/24

solve an equation :

\sqrt{\ln x} = \ln \sqrt{x}

Answered by Frix last updated on 02/Oct/24

\sqrt{\ln x} = \frac{\ln x}{2}

2 \sqrt{\ln x} - \ln x = 0

\sqrt{\ln x} (2 - \sqrt{\ln x}) = 0

\sqrt{\ln x} = 0 \lor \sqrt{\ln x} = 2

\ln x = 0 \lor \ln x = 4

x = 1 \lor x = e^{4}

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