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Solving exponential and logarithmic equations, and modeling — Homework
Decide first whether the bases can match; if not, take logs of both sides and check any log equation against its domain.
- 1.Solve: 5^(3x+1) = 125.
- 2.Solve: log_2(x+5) = 4.
- 3.Solve: 4^x = 30 (round to the nearest hundredth).
- 4.A car's value depreciates continuously at 12% per year from $25,000. Find its value after 5 years (round to the nearest dollar).
- 5.Explain why 5^x = -10 has no solution.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 15 homework