Advanced MathEasy–MediumExponential equation with shifted exponent
Advanced Math practice question
For what value of x does 3ˣ⁻² equal 27?
Answer: 5
27 = 3³, so x − 2 = 3 and x = 5.
Common wrong answers
- If you answered 3
- 3 is the exponent that gives 27; add back the 2 in x − 2.
- If you answered 9
- 9 is 27 ÷ 3, not the exponent plus shift.
- If you answered 29
- Match exponents of base 3 rather than adding 2 to 27.
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