SOLUTION: Solve the indicial linear equation 2[3^(2x-1)]=162

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Question 1198054: Solve the indicial linear equation 2[3^(2x-1)]=162
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Solve the indicial linear equation 2[3^(2x-1)]=162
:
2%283%5E%282x-1%29%29=162+
divide both sides by 2
%283%5E%282x-1%29%29=81+
we can write this so it has the same base on each side
3%5E%282x-1%29=3%5E4+
therefore if bases are the same:
2x-1 = 4
2x = 4 + 1
2x = 5
x = 2.5