Logarithmic equations and inequalities
Solve equations with a sum of logarithms, check roots against the domain, substitute t = lg x, find a variable base, and solve inequalities with a base between 0 and 1.
- أوكرانيا: الصف ١١
- روسيا: الصف ١١
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الدليل
This follows Ukrainian Grade 11 algebra §6–7. Always write the domain first: the argument is positive, the base is positive and not 1. A root outside it is extraneous.
Common slips: keeping an extraneous root, answering t instead of x, a negative base, and keeping the sign for a base below 1 or forgetting the domain.