If xy = 64 and logₓ y+ logᵧ x=5/2. Can you find (x,y) as x, y ∈ ℝ. скачать в хорошем качестве

If xy = 64 and logₓ y+ logᵧ x=5/2. Can you find (x,y) as x, y ∈ ℝ.

In this math tutorial our task is to find the real values of x and y. Step 1: Starting with equation 1, recall the change of base rule: logₓ y = 1/logᵧ x. Equation 2 becomes : logₓ y + 1/logₓ y = 5/2. Step 2: letting logₓ y = I The new equation is : k + 1/k = 5/2. Step 3 : Multiplying k+ 1/k = 5/2 by 2 k The new equation becomes: 2 k² + 2 = 5k = 2k²-5k+2=0 Step 4: Using factorisation method to solve the quadratic equation in k and getting the values of k=1/2 and k=2. Step 5: Use the two values of k to find the real values of x and y respectively. #logarithms #logarithmicequation #simultaneousequation #systemofequations #logarithmicquadraticequation #quadraticequation #mathtricks #mathviral #mathreels #viralvideos #viralreels