![]() ![]() Only x = 5 is a valid solution to the equation given above since x = 0 is not in the domain of the expressions making the equations. Solve the above quadratic function: x = 0 and x = 5 Ln function is a one to one function, hence: (x - 1)(2x - 1) = (x + 1) 2 Group terms and use power rule: ln (x - 1)(2x - 1) = ln (x + 1) 2 The given equation may be written as: 2x x 4 = 486 Rewrite given equation as: log = log (1), since log(1) = 0. Use change of base formula using ln to rewrite the given equation as follows Use change of base formula: (log xa)(log ab) If log x(1 / 8) = -3 / 4, than what is x? Solve for x the equation 4 x - 2 = 3 x + 4 Solve for x the equation 9 x - 3 x - 8 = 0 Solve for x the equation ln (x - 1) + ln (2x - 1) = 2 ln (x + 1)įind the x intercept of the graph of y = 2 log( √(x - 1) - 2) Solve for x the equation 2 x b 4 log bx = 486 Simplify without calculator: ((3 -1 - 9 -1) / 6) 1/3Įxpress (log xa)(log ab) as a single logarithm.įind a so that the graph of y = log ax passes through the point (e, 2).įind constant A such that log 3 x = A log 5x, for all x > 0. Simplify without calculator: log 6(216) + / log(49) It is stricltly limited to analyzing the cause linked to following issues : Man, Method, Mean, Maintenance. Questions on Logarithm and exponential with solutions, at the bottom of the page, are presented with detailed explanations. It is way to formalize and display causes in a fishbone/tree shape, that helps conduct analysis. The concepts of logarithm and exponential are used throughout mathematics. ![]()
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