+0  
 
0
37
2
avatar

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
avatar+2275 
+1

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

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

\(3^{2c + 1} = 3^3 \times 3^c\)

\(3^{2c+1} = 3^ {3 + c}\)

\(2c + 1 = 3 + c\)

\(c + 1 = 3\)

\(c = \color{brown}\boxed{2}\)

.
 Jul 2, 2022
 #2
avatar+1105 
+11

nice!

nerdiest  Jul 3, 2022

12 Online Users

avatar