SOLUTION: Solve the exponential equation algebraically. Round the result to three decimal places. 1000e^-4x = 75

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Question 373726: Solve the exponential equation algebraically. Round the result to three decimal places.
1000e^-4x = 75

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1000e%5E%28-4x%29+=+75
e%5E%28-4x%29+=+3%2F40
-4x+=+ln%283%2F40%29
x=-%281%2F4%29ln%283%2F40%29
or approximately,
x=0.647567
x=0.648