Answer:To find the value of "a" in the given equation, let's break down the equation step by step: 1. Start with the given equation: logₐ(2ᵃ) / logₐ(ba(2ᵃ)) = ²⁴/². 2. Rewrite the left side of the equation using the change of base formula: log(2ᵃ) / log(ba(2ᵃ)) = ²⁴/². 3. Apply the power rule of logarithms on the numerator: a log(2) / log(ba(2ᵃ)) = ²⁴/². 4. Since the base of the logarithm is the same on both the numerator and denominator, we can cancel them out: a / log(ba(2ᵃ)) = ²⁴/². 5. Multiply both sides of the equation by log(ba(2ᵃ)): a = (²⁴/²) log(ba(2ᵃ)). 6. Simplify the right side of the equation: a = 12 log(ba(2ᵃ)). (i tried)
Explanation: