Advanced MathMediumExponential equation solved by collecting terms
Advanced Math practice question
If 2ˣ⁺⁴ = 5 · 2ˣ + 88, what is the value of x?
Answer: 3
2ˣ⁺⁴ = 16 · 2ˣ, so 16 · 2ˣ − 5 · 2ˣ = 88 gives 11 · 2ˣ = 88, 2ˣ = 8, and x = 3.
Common wrong answers
- If you answered 4
- The +4 in the exponent becomes the factor 16, not a term to subtract.
- If you answered 8
- 8 is 2ˣ; the exponent is 3.
- If you answered 11
- 11 is the collected coefficient (16 − 5); divide 88 by it first.
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