Peter's answer to QN's Junior College 1 H1 Maths Singapore question.

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Peter
Peter's answer
18 answers (A Helpful Person)
1st
My proof
Peter
Peter
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.
QN
QN
4 years ago
For part(i), how does ln(k) . ln(x) = ln(x) . ln(k) prove x>0?
Peter
Peter
4 years ago
In both sides of the equation for a)
Peter
Peter
4 years ago
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.
QN
QN
4 years ago
Thanks!