Peter's answer to QN's Junior College 1 H1 Maths Singapore question.
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My proof
Date Posted:
4 years ago
For b, let k = sqrt(e). Then using the equality at a, LHS of b can be reduced to x^(1/2). Then the equation of b can be solved easily by squaring both side and then solving quadratic equation.
For part(i), how does ln(k) . ln(x) = ln(x) . ln(k) prove x>0?
In both sides of the equation for a)
ln k and ln x appear at both sides of the equation. Since ln K is a constant, it follows that any real positive x will satisfy the equation.
Thanks!