Question

If 3²x±¹
x 9=243. Find the value of'x'.​

Answer 1

Answer:

$Value \: of \: x = 2$

Step-by-step explanation:

$Given \: 3^{2x+1}\div 9 = 27\\\implies 3^{2x+1}=27\ \times 9\\\implies 3^{2x+1}=3^{3} \times 3^{2}\\\implies 3^{2x+1}=3^{3+2}\\\implies 3^{2x+1}=3^{5}\\\implies 2x+1 = 5$

$We \: know \: the \\</p><p>exponential \:law:\\</p><p>If \: a^{m}=a^{n}\: then \:m=n\\\implies 2x=5-1\\\implies 2x = 4\\ \implies x =\frac{4}{2}\\\implies x = 2\\Therefore, Value of \: x = 2$