If 9 to the power of c = 27 to the power of c-1, what is the value of c?

9^{c}=27^{c-1}

9 =3^{2}

27 = 3^{3}

Hence

(3^{2})^{c} =27 =( 3^{3})^{c-1}

3^{2c }=3^{3c-3}

2c=3c-3

2c-3c=-3

-c =-3

C=3

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