Additional Mathematics 0606 / Logarithms and Exponents / 1.121.12: Simultaneous equations in log x and log y0606/13/O/N/16 — Question 5 · 8 marks · Log laws, Change of base, EquationsMark as done · Save for later · Show all solutions(i)Given that log9xy=52\log_{9} xy = \dfrac{5}{2}log9xy=25, show that log3x+log3y=5\log_{3} x + \log_{3} y = 5log3x+log3y=5.[3]▸ Answer(ii)Hence solve the equationslog9xy=52,\log_{9} xy = \dfrac{5}{2},log9xy=25,log3x×log3y=−6.\log_{3} x \times \log_{3} y = -6.log3x×log3y=−6.[5]▸ Answer← 1.11: Value of xy; exponential equation by substitution1.13: Show log 9 4 equals log 3 2; hence solve →
