Question

find the value of x:​

Answer 1

$\mathfrak{Question:}$

Find the value of x.

$\tt{\left(\dfrac{6}{5} \right)^{x} *\left(\dfrac{5}{6} \right)^{2x}=\dfrac{125}{216}}.\\\\\\\mathfrak{Solution:}\\\\\implies\tt{\left(\dfrac{6}{5} \right)^{x} *\left(\dfrac{5}{6} \right)^{2x}=\dfrac{125}{216}}.\\\\\\\implies\tt{\left(\dfrac{5}{6} \right)^{-x} *\left(\dfrac{5}{6} \right)^{2x}=\dfrac{125}{216}}.\\\\\\\implies\tt{\left(\dfrac{5}{6}\right)^{2x-x}=\left(\dfrac{5}{6}\right)^{3}}\\\\\\\underline{\bf{After\;comparing\; we \;get,}}\\\\\\\implies\tt{2x-x=3}\\\\\\\therefore x= 3.$

Answer 2

Answer:

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Step-by-step explanation: