Problem 153 of 7
Solve exponential inequality 5^y >= 125 using logarithms.
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handle monotonic growth/decay direction.
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Handle monotonic growth or decay direction for above/below target thresholds.
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Walkthrough
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1. Isolate the exponential expression.
2. Determine whether the exponential model is increasing or decreasing.
3. Solve the boundary equation using logs.
4. Choose the side of the boundary satisfying the inequality.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Flipping direction incorrectly from a negative log without considering monotonicity.