SOLUTION: Solve (1/81)^t = 243^t-2 a. 9/2 b. 10/9 c. 2/9 d. 9/10

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve (1/81)^t = 243^t-2 a. 9/2 b. 10/9 c. 2/9 d. 9/10      Log On


   

Question 328842: Solve (1/81)^t = 243^t-2
a. 9/2
b. 10/9
c. 2/9
d. 9/10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F81%29%5Et+=+243%5Et-2
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1%2F81=1%2F3%5E4=3%5E%28-4%29
243=81%2A3=3%5E5
Substituting,
%283%5E%28-4%29%29t=%283%5E5%29%5E%28t-2%29
3%5E%28-4t%29=3%5E%285%28t-2%29%29
-4t=5t-10
-9t=-10
t=10%2F9
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b) is the correct answer.