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Question 2: Logs In this set of problems, you will be a math detective! Some of the symbols and functions may not be familiar to you, but with a little digging, reading, and observing, you'll be able to figure them out. Your task is to simplify each of the following expressions as much as possible, without using a calculator (either hardware or software). Do not approximate. Express all values as integers (not decimals) and all rational numbers as improper fractions. Your answer will not use the log function. log (9) 1. f(n) = 81 Zlog (3) f(n) = symbolic expression 2. f(n) = = log (27) log (729) + log (10000) log (10) f(n) = symbolic expression 2 Symbolic General format information: Your answer must be a symbolic expression. All numbers must be rational - so, 1/2 instead of 0.5. Complex numbers are not allowed. Allowable variables, constants, and operators: n pi e cos sin tan arccos arcsin arctan acos asin atan arctan2 atan2 explog sort O + 7 A ** All operations must be explicit: Example valid inputs: 2*3 cos (1) Example invalid inputs: 2(3) COS 1 Note that either or can be used for exponentiation