Solve for x: 4^(2x-2) * 4^(-4x+1) = 1/16

Published on August 28, 2024

Question

Answer

Let’s solve this step by step:
  1. First, let’s simplify the left side of the equation using the laws of exponents:
  2. Now our equation looks like this:
  3. We know that (because )
  4. So we can rewrite our equation as:
  5. When the bases are the same, the exponents must be equal for the equation to hold:
  6. Now we can solve for x:


Therefore, the solution is:
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