Test
Solving exponential equations with logarithms
Students practise solving exponential equations using logarithms by selecting the correct expression for x, ordering steps for solving 3^(2x − 1) = 11, and matching equations to solutions, plus applying change of base to word problems. Level: 12th grade.
By Edform · Mathematics · Grade 12 · Published Oct 28, 2026 · New
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Questions
- Solve 5^(2x − 1) = 17. Which expression gives the exact value of x?
- A bacteria culture grows according to P(t) = 120 · 1.08^t, where t is time in hours. Approximately how long will it take for the culture to reach 200 bacteria?
- Put the steps for solving 3^(2x − 1) = 11 in order.
- Match each exponential equation with its exact solution.
- Complete the statement using the change-of-base formula.
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