Solve the following equation:
$lo g (lo g x) + lo g (lo g x^{4} - 3) = 0$

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Solve the following equation:

lo g (lo g x) + lo g (lo g x^{4} - 3) = 0

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Text solutionVerified

l o g (l o gx) + l o g (l o g x^{4} - 3) = 0 \Rightarrow l o g (l o gx) + l o g (4 l o gx - 3) = 0 \Rightarrow l o gx (4 l o gx - 3) = 1 \Rightarrow 4 (l o gx)^{2} - 3 l o gx - 1 = 0 \Rightarrow l o gx = 1, l o gx = \frac{- 1}{4} \Rightarrow x = 10, \frac{1}{4 10} .

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Question Text	Solve the following equation: $lo g (lo g x) + lo g (lo g x^{4} - 3) = 0$
Answer Type	Text solution:1
Upvotes	151