16Hit 1600
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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