Solve This Logarithmic Equation Using Change of Base (Exam-Style Problem)

In this video, I solve a logarithmic equation involving three different bases. The key idea is recognizing that the bases don’t match and using the change of base formula to rewrite everything in terms of a single logarithm before solving. I carefully apply log rules, simplify the equation step by step, and isolate the variable without guessing or trial-and-error. In this solution, you’ll see how to: ✅ Apply the change of base formula correctly ✅ Combine logarithms with different bases ✅ Use log properties to simplify the equation ✅ Reduce the problem to a solvable algebraic form ✅ Avoid common exam mistakes with logarithmic equations This is a classic exam-style problem that tests understanding of logarithms rather than memorization.