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) Use change of base formula to write: log 4(5) = log 8(5) / log 8(4) = b / (2/3), since log 8(4) = 2/3 Use log rule of product: log 4(10) = log 4(2) + log 4(5) Take ln of both sides (m - 1) ln y = 2 ln x Rewrite equation as (1/2) 2x + 1 = (1/2) 0ĭivide all terms by x y and rewrite equation as: y m - 1 = x 2 Practice Solutions for text 4.1 to Mid Ch Review 4.2 Factorial Notation Lesson 4.2 pg 243 1-7, 10-16 4. If log x(1 / 8) = -3 / 4, than what is x? Math 12 Foundations is a course for students who are planning to carry on in college or university, but not in the math or science fields. 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) Questions on Logarithm and exponential with solutions, at the bottom of the page, are presented with detailed explanations. The concepts of logarithm and exponential are used throughout mathematics. Logarithm and Exponential Questions with Answers and Solutions - Grade 12 Logarithm and Exponential Questions with Answers and Solutions - Grade 12
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