Solve for x: (1/12)^(2x) = 12

Learn to solve the exponential equation (1/12)^(2x) = 12 through a systematic step-by-step approach in this 15-minute mathematics tutorial. Master the technique of isolating variables in exponential equations by applying logarithmic principles and mathematical reasoning rather than guesswork. Discover how to transform complex exponential expressions into solvable forms, making this type of problem accessible whether you're studying Algebra 2, preparing for standardized tests, or reviewing college-level mathematics. The instruction breaks down the solution process clearly, showing exactly how to manipulate the equation using properties of exponents and logarithms to find the value of x, providing essential skills for homeschoolers, adult learners, and students preparing for mathematical assessments.