SOLUTION: solve for x, 5 raised to the 3x = 1000

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Question 290953: solve for x, 5 raised to the 3x = 1000
Answer by dabanfield(803) About Me  (Show Source):
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solve for x, 5 raised to the 3x = 1000
5^3x = 1000
log (5^3x) = log(1000)
log (5^3x) = 3
3x*log(5) = 3
3x = 3/log(5)
x = 3/(3*log(5))
x = 1/log(5)