Morocco | Maths Preparation for Competitive Exams. Can You solve? 9^x -x^4 =65.

[@surinetso8346]

3^2x-x2^2*2=65

[@TheKnowledgeOfScience]

Love you too much

[@Justin_Case29]

To solve the equation a^x - x^c = b, we first rewrite it as f(x) = a^x - x^c - b = 0. The process starts with an initial guess for x, then refines the guess using the formula: x_{n+1} = x_n - f(x_n) / f'(x_n) where f'(x) is the derivative of f(x), calculated as f'(x) = a^x * ln(a) - c * x^(c-1). By repeatedly updating x with this formula, the process gradually approaches a solution when the difference between successive values of x becomes very small. This method is particularly effective for solving equations that involve both exponential and polynomial terms.

[@Misha-g3b]

2.

[@민우김-f4n]

X=2 9^x-x^4=65 65=9^2-4^2 81-16=65 X=2

[@shannonmcdonald7584]

2. Just by looking. But you want the other 3 I solutions don't you?