Advanced MathMediumExponent sum from a product of function values
Advanced Math practice question
The function f is defined by f(x) = 2ˣ. If f(a) · f(b) = 32, what is the value of a + b?
Answer: 5
f(a) · f(b) = 2ᵃ · 2ᵇ = 2^(a + b) = 32 = 2⁵, so a + b = 5.
Common wrong answers
- If you answered 10
- 10 doubles the correct value.
- If you answered 16
- 16 comes from 2^(a + b) = 32 read as a + b = 32 ÷ 2.
- If you answered 32
- 32 is the product, not the exponent.
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