Solve for P: 125^(3P-4) = √5

Published on August 26, 2024

Question

Answer

Let’s solve this problem step by step:
  1. The equation given is:
  2. First, let’s simplify the right side:
  3. Now our equation looks like:
  4. We know that , so let’s rewrite the left side:
  5. Using the power rule , we can simplify:
  6. Simplify the exponent on the left side:
  7. When the bases are the same, the exponents must be equal:
  8. Add 12 to both sides:
  9. Divide both sides by 9:
Therefore, the value of P is or approximately 1.389.
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