Question

If (3x⁴)³ = 3^(3^3) , then find x
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Answer 1

Answer:

(3$x^{4}$)³ = (3³)³

(3) = = 19683

$x^{12}$= 19683 /3 = 6561

x = $12\sqrt{6561}$

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

(3x⁴)³ = 3^(3^3)

$3 {x}^{4 } = {3}^{3}$

${x}^{4} = \frac{ {3}^{3} }{3}$

${x}^{4} = {3}^{3 - 1}$

${ {x}^{2} }^{2} = {3}^{2}$

$hence \: \: {x}^{2} = 3$

$x = \sqrt{3}$