Verified answer

10/(3 – 3e^(–0.0001x)) = 10000

3 – 3e^(–0.0001x) = 10/10000

3 – 3e^(–0.0001x) = 0.001

3e^(–0.0001x) = 2.999

e^(–0.0001x) = 0.999667

–0.0001x = ln(0.999667)

–0.0001x = -0.00033339

x = 3.334 to 3 decimal places

10/(3 − 3e^(−0.0001x)) = 10000

10/10000 = 3 − 3e^(−0.0001x)

3e^(−0.0001x) = 3 − 10/10000 = 2.999

e^(−0.0001x) = 2.999/3

−0.0001x = ln(2.999/3)

x = −10000 ln(2.999/3)

x = 3.333889012

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