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Hi there so sorry for giving the answer quite long after you posted it. This question tests a lot on the manipulation of logarithms, such as converting log base x (y) = -log base y (x), lgx + lgy = lgxy and other maniuplations. Just remember that everytime you get these equations, see what kind of manipulations you can apply then use it to solve the question. Hope this helps!
Date Posted:
7 years ago
For parts (i) and (iii), wrong formula is introduced: change of base should be used instead (see my answer). The answers are incorrect. Question is also wrongly copied for part (iii). For part ii, the first y should be 5/4. Overall method is fine though.
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Unfortunately, the answers look hideous: Feel free to check the answers with your calculator (EXAM TIP). Sub those values into equation and use change of base formula (as stated) to do so. For eg, log5 base x is equal to (lg 5/lgx) on the calculator:) Test the answers for yourself!
Date Posted:
7 years ago