CCSS HSF-LE.A.4 Worksheets
Algebra 2 · Linear, Quadratic, & Exponential Models
For exponential models, express as a logarithm the solution to a·b^(ct) = d where a, c and d are numbers and the base b is 2, 10 or e, and evaluate the logarithm using technology.
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Teaching guide
What students learn
For exponential models, express as a logarithm the solution to a·b^(ct) = d where a, c and d are numbers and the base b is 2, 10 or e, and evaluate the logarithm using technology.
Worked example
Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: = 26
Answer: x = ln(26) ≈ 3.2581
Why: Take the base-e logarithm of both sides: x = ln(26). Evaluate with the change-of-base rule: ln(26) = ln(26)/ln(e) = 3.2581, giving x ≈ 3.2581.
Generated and checked in code, so it is correct.
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