Question

if 216^x=36/6^x,find the value of x​

Answer 1

Step-by-step explanation:

${216}^{x} = \frac{36}{ {6}^{x} } \\ \\ = > {6}^{3 \times x} = \frac{ {6}^{2} }{ {6}^{x} } \: \: \: \: \: \: ( {6}^{3} = 216) \\ \\ = > {6}^{3x} = {6}^{2 - x} \\ \\ = = > 3x = 2 - x \\ \\ = > 3x + x = 2 \\ \\ = > 4x = 2 \\ x = \frac{1}{2}$

Answer 2

Answer:

x=1/√21

Step-by-step explanation:

126x=36/6x

6x×126x=36

756x²=36

x²=36/756

x=1/√21