Problem 77 of 7
Solve for time in decay or half-life model A(t)=160(0.5)^(t/5) reaches 20.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use logs with base between 0 and 1.
Hidden until you reveal it.
Use logs with base between 0 and 1 for medication, radioactive decay, and depreciation.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Set the decay model equal to the target.
2. Divide by initial amount.
3. Take logs and solve for time.
4. Check that the time is reasonable and positive in context.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Reversing log ratio signs to produce impossible negative time.