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Find all values of t such that 6^(3t - 1) = 36^t.

 Mar 8, 2021
 #1
avatar+31195 
+1

6^(3t - 1) = 36^t.

               = (62)t

 

so equate the exponents

 

3t-1 = 2t

t = 1

 Mar 8, 2021
 #2
avatar+498 
0

\(6^{(3t - 1)} = 36^t\)

\(6^{(3t - 1)} = 6^{2t}\)

\(3t - 1 = 2t\)

\(t = 1\)

.
 Mar 8, 2021

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