Problem 10 of 7
Solve exponential equation 7*e^(-0.2t)=1 using logarithms.
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Hidden until you reveal it.
isolate exponential factor and take logs.
Hidden until you reveal it.
Isolate exponential factor and take logs for growth and decay bases.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Divide by the leading coefficient.
2. Take logarithms of both sides.
3. Use the power rule to bring down the exponent.
4. Solve for the variable and check context units.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Taking logs before isolating the exponential factor.