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# Exponents

0
94
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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.

Jul 2, 2022

#1
+2448
0

$$3^{2c + 1} = 28 \times 3^c - 3^c$$

$$3^{2c + 1} = 27 \times 3^c$$

$$3^{2c + 1} = 3^3 \times 3^c$$

$$3^{2c+1} = 3^ {3 + c}$$

$$2c + 1 = 3 + c$$

$$c + 1 = 3$$

$$c = \color{brown}\boxed{2}$$

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Jul 2, 2022
#2
+1155
+11

nice!

nerdiest  Jul 3, 2022