16Hit 1600
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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