SOLUTION: solve algebraically: {{{3^(2x+1) = 1/243}}}

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Question 63300: solve algebraically: 3%5E%282x%2B1%29+=+1%2F243
Answer by ntnk(54) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%282x%2B1%29+=+1%2F243
If x = y, then log x = log y,
therefore, find the log(base3) of both sides.
Log(base3)3^(2x+1)=log(base3)(1/243)
This simplifies to
2x%2B1=-5 because log(base3)(1/243)=-5
2x=-6
2x%2F2=-6%2F2
x=-3
ntnk