Equations are the backbone of mathematics, and solving them is a fundamental aspect of problem-solving in various fields. One such intriguing equation is 5^x + 25^x = 650. In this blog post, we will embark on a journey to solve this equation and find the value of x by comparing the left-hand side (LHS) to the right-hand side (RHS). Let’s dive into the world of exponentials and algebra to unlock the mystery of x.
Comparing LHS to RHS:
To solve the equation 5^x + 25^x = 650, we must first understand the properties of exponential expressions.
Let’s start by comparing LHS to RHS.
for the complete solution, watch the above video:
Conclusion:
In our journey to solve the equation 5^x + 25^x = 650, we discovered that the value of x is 2. By comparing the left-hand side (LHS) to the right-hand side (RHS) and manipulating the equation using exponent rules and quadratic formulas, we successfully unlocked the mystery of x. This demonstrates the power of algebraic techniques and mathematical problem-solving in finding solutions to complex equations.
