Find the value of x for which 4-9x- 4-9-7-4-92x-1-

(49)^x×(49)^ 7=(49)^2x+1 (49)^x 7=(49)^2x+1 On comparing, we get... x 7=2x+1 So, x= 8 ...

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Exponential Representation for Irrational Numbers

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Question

Find the value of x for which $(\frac{4}{9})^{x} \times (\frac{4}{9})^{- 7} = (\frac{4}{9})^{2 x + 1} .$

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Find the value of x for which ${(\frac{4}{9})}^{4} \times {(\frac{4}{9})}^{- 7} = {(\frac{4}{9})}^{2 x - 1}$

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