Advanced MathHardEquating exponents of a common base
Advanced Math practice question
If 5²ˣ = 5ˣ⁺³, what is the value of x?
Answer: 3
Equal bases force equal exponents: 2x = x + 3, so x = 3.
Common wrong answers
- If you answered 1
- 2x = x + 3 gives x = 3; check 2(1) = 2 ≠ 4.
- If you answered 15
- No multiplication of exponents is involved; set 2x equal to x + 3.
- If you answered -3
- Move x, not 3, across: 2x − x = 3.
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