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Solve the following equations

In(x-2) +In2 = Iny

Log3x = y = Log9(2x-1)



Log2X + Logx2 = 2, find x


F ive less than three times a number all divided by the product of four and the same number is [1] 3n − 5 4 × 2. [2] 3n 4n − 5. [3] 3n − 5 4n . [4] 5 − 3n 4 + n



GIven that log36=m, and log65=n express log310 in terms of m and n


Solve the inequality √(4x2-8x+7) ≤ -2x


Solve the equation logxe2e = eInx-e



The domain of the function define by f(x) = √[Inx/ (Inx-1)] is?


For what real x, can we have the inequality I4x-x2-3I / √(x+1) >0


Given that 43+x/810x = 210-2x/643x what is the value of x?


One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?