Problem 41 of 7
Solve exponential equation e^(-x) = 3 with natural logarithms.
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apply ln to both sides and divide.
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Apply ln to both sides and divide for continuous growth or decay forms.
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Solution
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1. Isolate the e-power if needed.
2. Apply natural log to both sides.
3. Use ln(e^u)=u.
4. Solve for the variable.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using common log incorrectly without equivalent change-of-base handling.