1.4: Quadratic in log base 3 by substitution

0606/11/O/N/16 — Question 3 · 6 marks · Log laws, Equations

By using the substitution y=log3xy = \log_{3} x, or otherwise, find the values of xx for which
3(log3x)2+log3x5log39=0.3(\log_{3} x)^{2} + \log_{3} x^{5} - \log_{3} 9 = 0.
[6]