Logarithmic identity, change of base, the logarithmic function
Use the basic logarithmic identity, change base, and compare logarithms with a base between 0 and 1. Section: Grade 11, logarithm properties and the logarithmic function; logarithmic equations are in another studio.
- أوكرانيا: الصف ١١
- روسيا: الصف ١١
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الدليل
This follows Ukrainian Grade 11 algebra §4–5. A logarithm is read off the graph of a^x: log₂٣٢ = ٥ because ٢٥ = ٣٢.
The marked points help; the common slips are adding instead of multiplying powers, forgetting that a base can be a power, and assuming a logarithmic function always rises.