Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.6 Systems of Nonlinear Equations - 10.6 Assess Your Understanding - Page 795: 53

Answer

$(81,3)$

Work Step by Step

1. Multiply $ln3$ to the 2nd equation after changing base to natural log, we have $ln\ x=2ln3+2ln\ y$ 2. Use the 1st equation with the above to get $4ln\ y=2ln3+2ln\ y$ or $ln\ y=ln3$, thus $y=3$ 3. Use the 1st equation to get $ln\ x=4ln3$, thus $x=3^4=81$ 4. Check solution $(81,3)$, it fits.
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