The questions are in the attached images.

Solve each of the following equations for c. a) If In (x) + In (x - 1) = 1, then the solution is (Note: you should have two solutions, one positive and one negative - put the positive one in a and the negative one in x_!) b) If 20-5 = 3, then In() log(x) (Note: to enter logarithms in bases other than base 10/base e, you need the change of base formula from class, namely logg I In(a) log(a) PLet f (a) = 2 - 4. Use the difference quotient to estimate the slope of the tangent line of f (x) at r = 5 Slope:Let f (x) = x -5 x + 7. The slope of the tangent line at x = 1 is -3. Construct the equation of the tangent line to f (x) atx = 1. y =7:2 - 2 Fill in the following table to evaluate the limit, lim f (x), where f (x) = (E+1) -3