Advanced MathVery hardSolving for the input of an exponential function
Advanced Math practice question
The function f is defined by f(x) = 5 · 3ˣ. For what value of x does f(x) = 405?
Answer: 4
5 · 3ˣ = 405 gives 3ˣ = 81 = 3⁴, so x = 4.
Common wrong answers
- If you answered 3
- 3 gives 5 · 27 = 135.
- If you answered 5
- 5 gives 5 · 243 = 1215.
- If you answered 81
- 81 is 3ˣ, not x.
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