16Hit 1600
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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