Question 184436
27^(x^2+1) = 243

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(3^3)^(x^2+1) = 3^5

3^(3x^2+3) = 3^5

3x^2+3 = 5

3x^2 = 2
x^2 = 2/3

x = +/-(1/3)sqrt(6)

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Cheers,
Stan H.