Solve t: How to Solve 9.0 = 34.2(1 - e-t/2.7)

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SUMMARY

The equation 9.0 = 34.2(1 - e^(-t/2.7)) can be solved for t by isolating the exponential term. The solution process involves simplifying to 0.263158 = (1 - e^(-t/2.7)), leading to e^(-t/2.7) = 0.736842. Taking the natural logarithm of both sides, ln(e) = 1, allows for the calculation of t. This method demonstrates the application of natural logarithms in solving exponential equations.

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Homework Statement



9.0 = 34.2(1 - e-t/2.7)

Solve for t

2. The attempt at a solution

.263158 = (1 - e-t/2.7)

What is e?
 
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queenspublic said:

Homework Statement



9.0 = 34.2(1 - e-t/2.7)

Solve for t

2. The attempt at a solution

.263158 = (1 - e-t/2.7)

What is e?
e-t/2.7 = 1 - 0.263158
Take ln. on both side. Note that ln(e) = 1. Solve for t.
 
e is an extremely useful mathematical constant. Are you familiar with logarithms (specifically natural logarithms)?

Edit- I guess my simple question isn't very helpful when someone gives away the answer right before me...
 
Last edited:

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