Solve for t in the equation 9^{t+1} +3^{2t}=30.

3^{2t +2} + 3^{2t} = 303^{2t }× 3^{2 }+ 3^{2t }=30Let 3^{2t }be P9P + P =3010P = 3010 10 P=331 = 3^{2t} 2t = 12 2 t = ½

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