16Hit1600
Advanced MathMediumExponent equation with a linear exponent

Advanced Math practice question

If 3^(2x − 1) = 2,187, what is the value of x? (Note: 2,187 = 3⁷.)

Answer: 4

Since 2,187 = 3⁷, the exponents must match: 2x − 1 = 7, so 2x = 8 and x = 4.

Common wrong answers

If you answered 3
3 comes from 2x − 1 = 5, a slip in identifying the power (2,187 is 3⁷, not 3⁵).
If you answered 7
7 is the exponent on 3, which equals 2x − 1, not x.
If you answered 4.5
4.5 comes from 2x = 9 — the −1 was subtracted from 7 rather than added: 7 + 1 = 8.

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