Logarithmic equations

A logarithmic equation is one where the unknown appears inside a logarithm or in an exponent of an expression like $\log_a f(x)$ . Domain: every expression under $\log$ must be strictly positive; bases $>0$ , $\neq1$ . After algebra always check each root in the original equation and the domain: raising to a power or merging logs may create extraneous roots.

Domain first, then algebra — fewer chances to accept a spurious solution

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