Problem preview

F-LE.4 Warmup M3-029-A07-V02

Use logarithms to solve exponential equations of the form ab^(ct)=d and evaluate with technology.

Evaluate a logarithm by change of base to four decimals

Problem

Use change of base to evaluate \(\log_{5}(80)\). Show the quotient and round to \(\text{four}~\text{decimal}~\text{places}\).

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Analysis: log₅(80) = ln(80)/ln(5) ≈ 2.7228.

Analysis: log₅(80) = ln(5)/ln(80) ≈ 0.3673.

Analysis: log₅(80) = ln(80)/ln(5) ≈ 2.7227.

Analysis: log₅(80) = ln(80)/5 ≈ 0.8764.

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Curriculum context

Course: Math III
Standard: F-LE.4
Category: Functions
Domain: Linear, Quadratic, and Exponential Models
Objective: Use logarithms to solve exponential equations of the form ab^(ct)=d and evaluate with technology.
Problem type: Evaluate a logarithm by change of base to four decimals