Is this equation solvable? x^ln(4)+x^ln(10)=x^ln(25) скачать в хорошем качестве

Is this equation solvable? x^ln(4)+x^ln(10)=x^ln(25)

Get started with a 30-day free trial on Brilliant: 👉https://brilliant.org/blackpenredpen/ ( 20% off with this link!) We will solve this power equation x^ln(4)+x^ln(10)=x^ln(25). However, the process of solving this equation would require making one side equal to 0 but factoring every term by x^ln(4), and I don't think the expressions will look that nice. So instead, we can use the log property that a^logb(c)=c^logb(a) and change the equation to an exponential equation. The answer will involve the usage of the quadratic formula and we will also see the golden ratio. Equation-of-the-year playlist:    • Playlist   0:00 Math for fun, solving the power equation x^ln(4)+x^ln(10)=x^ln(25) 1:09 Proving a^logb(c)=c^logb(a) 3:18 Solving the equation in exponential form 8:35 Check out Brilliant ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 💪 Get my math notes by becoming a patron:   / blackpenredpen   #blackpenredpen #math #calculus #apcalculus