Algebra › Section J · Exponential and logarithmic functions › Topic J.5
Solving exponential and logarithmic equations
Exponential and logarithmic equations hide the variable in an exponent or inside a log. Each type is undone by the machinery of the other — and log equations carry one extra duty: checking that the answers you find are answers you may keep.
In this topic
- Two equations, one inverse pair
- Same base: exponents equal
- Worked example: when the bases refuse to match
- Isolate the exponential first
- Log equations: rewrite in exponential form
- Worked example: condense, then solve
- The domain tribunal: reject the impostors
- How long until it doubles?
- Worked example: a growing city
- Common mistakes to avoid
- Key takeaways
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