Question

If 9 to the power x into 3 to the power 2 into 3 to the power minus x by 2 whole to the power minus 2 equals to 1 by 27 then find the value of x ?

Answer 1

it should be your answer

Answer 2

x = -1/3 if   $(9^{x} \times 3^{2} \times 3^{\frac{-x}{2}} )^{-2} = \frac{1}{27}$

Step-by-step explanation:

$(9^{x} \times 3^{2} \times 3^{\frac{-x}{2}} )^{-2} = \frac{1}{27} \\(3^{2x} \times 3^{\frac{-x}{2}} )^{-2} \times 3^{-4} = \frac{1}{27} \\(3^{-4x} \times 3^{x}) \times \frac{1}{81} = \frac{1}{27} \\3^{-3x} = 3$

3⁻³ˣ = 3

=> 3⁻³ˣ = 3¹

=> -3x = 1

=> 3x = -1

=> x = -1/3

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