Exponential equations
Nonlinear equations and systems · Stage 3
Recognize the pattern
Rewrite both sides with a common base when possible.
Useful ruleRewrite with a common base or use logs
Build on: ADM-01
Try it before reading the solution
Solve 3^(x+1)=27.
This teaching example is original and is not an official SAT question.
Reasoning
27=3³, so x+1=3 and x=2.
Answerx = 2
03 · Next step
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Practice questions remain in English, as on the SAT.