16Hit1600
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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