SOLUTION: Using the properties of logarithms, simplify the expression ln 𝑦 such that there is no contain products, quotients or powers. 𝑦 = √(3𝑥 − 4)(3 −2𝑥) / √(4𝑥²

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Using the properties of logarithms, simplify the expression ln 𝑦 such that there is no contain products, quotients or powers. 𝑦 = √(3𝑥 − 4)(3 −2𝑥) / √(4𝑥²      Log On


   



Question 1195032: Using the properties of logarithms, simplify the expression ln 𝑦 such that there is no
contain products, quotients or powers.
𝑦 = √(3𝑥 − 4)(3 −2𝑥) / √(4𝑥² − 1)

Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


Still ambiguous... but now I can guess what the correct expression is. Adding one more set of parentheses...:

𝑦 = √((3𝑥 − 4)(3 −2𝑥)) / √(4𝑥² − 1)

A square root is the 1/2 power, so the given expression is

y=%28%283x-4%29%283-2x%29%29%5E%281%2F2%29%2F%284x%5E2-1%29%5E%281%2F2%29

When taking logarithms, the power comes out front as a multiplier; the log of the product is the sum of the logs; and the log of the quotient is the difference of the logs: