In this video, I solve the logarithmic equation log₂(9x + 2) = log₃(16x + 3) using a clever substitution method. By setting both sides equal to d, I transform the problem into a system of simultaneous equations, eliminate x, solve for d, and then back-substitute to find the exact value of x. This step-by-step tutorial is perfect for high school students preparing for math Olympiads, competitive exams, or anyone looking to master advanced logarithmic equations. You'll learn how to handle logarithmic functions with different bases, apply exponential conversions, and tackle nonlinear systems efficiently. Whether you're studying for exams or love challenging math problems, this video will sharpen your problem-solving skills. Like, subscribe, and comment with your own solutions or questions! #matholympiad #maths #algebra