Question

Find the value of x here(11/9)^3×(9/11)^6=(11/9)^2x−1​

Answer 1

Refer to the attachment...

hope it helps :)

Answer 2

Answer:

x = -1 is your answer.

Step-by-step explanation:

$\tt \huge{ (\frac{11}{9}) }^{3} \times {( \frac{11}{9} )}^{ - 6} = {( \frac{11}{9}) }^{2x - 1} \\ \\ \tt \bold\to{When \: \: bases \: \: are \: \: same, \: we \: \: equate \: \: powers} \\ \\ \tt \huge \to3 - 6 = 2x - 1 \\ \\ \tt \huge \to - 3 + 1 = 2x \\ \\ \tt \huge \to2x = - 2 \\ \\ \tt \huge \to x = \frac{ - 2}{2} = - 1$

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