Problem 125 of 7
Determine whether exponential equation 7 * (1/3)^x = -21 has a real solution in context.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
check sign/domain and attainable outputs.
Hidden until you reveal it.
Check sign, domain, and attainable outputs for impossible target values.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Isolate the exponential expression.
2. Check whether the target value is positive and attainable.
3. Apply context restrictions such as t>=0 before concluding.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Taking log of a nonpositive isolated exponential target.