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X^24 = 3^12 solve for x

2 Answers

2 votes

Answer:x=3 1/2, -3 1/2


Step-by-step explanation:Take the root of both sides and solve


User Durgesh Patel
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\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^(24)=3^(12)\implies x=\sqrt[24]{3^(12)}\implies x=3^{(12)/(24)}\implies x=3^{(1)/(2)}\implies x=√(3)

User Pulkit Chadha
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