SOLUTION: Solve the exponential equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) 6^3x = 4000

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Question 402575: Solve the exponential equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.)
6^3x = 4000
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6^(3x) = 4000
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Take the log of both sides to get:
(3x)log(6) = log(4000)
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3x = [log(4000)/log(6)]
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x = (1/3)[log(4000)/log(6)]
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x = 1.5430
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Cheers,
Stan H.
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