Advanced MathVery hardExponential equation with two terms
Advanced Math practice question
If 2ˣ + 2^(x + 1) = 48, what is the value of x?
Answer: 4
2^(x + 1) = 2·2ˣ, so 3·2ˣ = 48 and 2ˣ = 16, giving x = 4.
Common wrong answers
- If you answered 5
- 5 comes from 2ˣ = 32, dividing 48 by 1.5 wrongly.
- If you answered 16
- 16 is 2ˣ, not x.
- If you answered 24
- 24 halves 48 without combining the terms.
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