One such intriguing equation is 2^x=5^(x+2), where the challenge lies in finding the value of x that satisfies this equation. The equation 2^x=5^(x+2) presents an intriguing juxtaposition of two distinct bases, 2 and 5, each raised to different powers. 

In the case of 2^x=5^(x+2), we can express both bases using a common exponent, thereby simplifying the equation and facilitating the solution process. This strategy often involves converting each base to a common base using exponent properties such as logarithms or equivalent forms. Let’s check our video, how you can solve this math step by step.