SOLUTION: Solve: 6^(n+1) >or= 10. Round to four decimals places. Thanks

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Question 42554: Solve: 6^(n+1) >or= 10. Round to four decimals places.
Thanks

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
To solve
6^(n+1) ≥ 10
take the log of both sides
log 6^(n+1) ≥ log 10
log 6^(n+1) ≥ 1
(n+1)*log 6 ≥ 1
n+1 ≥ 1/log 6
n ≥ (1/log 6) - 1
n ≥ .2581