Find all values of c such that 3^(2c + 1) = 28*3^c - 3^c. If you find more than one value of c, then llist your values in increasing order separated by commas.
+2666 \(3^{2c + 1} = 28 \times 3^c - 3^c\)
\(3^{2c + 1} = 27 \times 3^c\)
\(3^{2c + 1} = 3^3 \times 3^c\)
\(3^{2c+1} = 3^ {3 + c}\)
\(2c + 1 = 3 + c\)
\(c + 1 = 3\)
\(c = \color{brown}\boxed{2}\)
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