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Given the left page scenario, what is the minimum number of days until the expected value rebalances to $1,000,000? The diagram on the right demonstrates pictorially how expected values are calculated per day iteration

|x-3| + |x+2| - |x-4| = 3 The solution is -6 and 2. What is the method of finding the x? Split into piecewise? If so, how would one split it into piecewise function?

I cannot change the bases into a common base for the life of me. Can someone give a suggestion as to how I can proceed in this problem?

3 log_10(x^2)-log_10^2(-x) = 9 Not really sure how to deal with the log(-x). What can I do with this equation?

5 * x^[log3(2)] + 2^[log3(x)] = 24

1 + 3^(x/2) = 2^x Already know the answer, just not the steps leading up to the answer. How do you get to the answer? Tad more difficult question. ( √(2-√3) )^x + ( √(2+√3) )^x= 2^x How do you factor that and find the answer? Seriously?