16Hit1600
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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