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Find all values of c such that 3^(2c+1) = 28*3^c.
If you find more than 1 value of c, then list your values in increasing order, separated by commas.

 Jul 23, 2022

Best Answer 

 #1
avatar+14084 
+3

Find all values of c

 

Hello Guest!

 

\(3^{2c+1} = 28\cdot 3^c\ |\ /\div 3^c \\ 3^{c+1}=28\\ lg\ 3\cdot (c+1)=lg\ 28\\ c=\dfrac{lg\ 28}{lg\ 3}-1\\ \color{blue}c=2.0331\)

laugh  !

 Jul 23, 2022
 #1
avatar+14084 
+3
Best Answer

Find all values of c

 

Hello Guest!

 

\(3^{2c+1} = 28\cdot 3^c\ |\ /\div 3^c \\ 3^{c+1}=28\\ lg\ 3\cdot (c+1)=lg\ 28\\ c=\dfrac{lg\ 28}{lg\ 3}-1\\ \color{blue}c=2.0331\)

laugh  !

asinus Jul 23, 2022

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