log base y of (x rise to 4) if log base (y raised to 3) =2​

Question

log base y of (x rise to 4) if log base (y raised to 3) =2​

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Amaya 2 months 2021-10-10T12:53:38+00:00 1 Answer 0 views 0

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    2021-10-10T12:55:27+00:00

    Step-by-step explanation:

     log_{y}( {x}^{4} )  \\  log_{ {y}^{3} }(x)  = 2 \\ \frac{ log(x) }{3 log(y) }  = 2 \\  \frac{1}{3}  \frac{ log(x) }{ log(y) }  = 2 \\   \frac{ log(x) }{ log(y) }  = 6 \\  log_{y}(x)  = 6 \\  log_{y}( {x}^{4} )  = 4 log_{y}(x)  \\  log_{y}( {x}^{4} )  = 4 \times 6 \\  log_{y}(x {}^{4} )  = 24 \\ it \: is \: the \: answer \: .......

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