When solving a logarithmic equation such as log7 (x - 4) + logy (x + 2) = 1, the process of identifying which solutions satisfy the original expression must always be done when solutions are found because: a) The solutions may not be correct Ob) Not all logarithm equations can be solved O c) Some solutions may be missing d) Some solutions can lead to the evaluation of a negative value in a logarithmWhich is a property of the logarithmic function f (x) = log, a ? O a) y-intercept at y = 1 Ob) Domain = {x x > 0, x E R} O c) Range = {yly > 0, y e R} Od) Horizontal asymptote at x = 0Describe the changes to the graph of f (x) = log a when x is replaced by 9 a) Vertically compressed by a factor of 9 and moved up 3 units b) Horizontally compressed by a factor of 9 and moved up 3 units c) Moved up 2 units and vertically stretched by factor of 3 (d) Moved down 2 units and vertically stretched by factor of 3The profits for a company can be modeled by the logarithmic function P(t) = ? Blog (2t + 1) With P in thousands of dollars and t in years. What is instantaneous increase in profit at year 3? a) 186.10 dollars/year b) 0.19 dollars/year O c) 5373.46 dollars/year Od) 5.37 dollars/ year