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MathNet 2006 — Part 04 Question 101

Math Olympiad Vault · MathNet 2006 — Part 04

Question 101

1. The equations $2 \log_{3}(x+2) - \log_{3} x = 2$ and $25^{x} = 0{,}008$ are given.


a) Solve the equation.


b) The solutions of the equations are the zeros of the polynomial $p$ of the third degree. The graph of this polynomial also passes through the point $(2,7)$. Write down the rule of the polynomial $p$ in zero form.