Question

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

Answer 1

Step-by-step explanation:

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