Germany | Math Olympiad | A nice exponential equation solve for x?

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A nice junior maths olympiad question solve. Find the value of X?
#maths #mathematics #algebra #radical #mathstricks #mathtricks
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I get the concept but I legit guessed these in my head

blintzy
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At lnx = (rtx/2)*lnx you can just divide both sides by lnx and clearly see the answer is 4.

tschantz
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It looks to have 1 as one straight forward answer.

marcelomeireles