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Let x be a real numbe such that \(625^x=9\). What it \(125^x\) in radical form?

 Mar 22, 2024
edited by ABJelly  Mar 22, 2024
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625^x  =  9   

 

(5^4)^x  =  9           take each side to the 3/4   power

 

(5^4)^(3/4 * x)   = 9^(3/4)

 

(5^3) ^x   =  9^(3/4)

 

125^x  =   4√(9^3)

 

125^x  = 4√729

 

cool cool cool

 Mar 22, 2024

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