Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.1 Vectors in the Plane - Exercises - Page 649: 18


$$\langle \ln 6,e+\pi \rangle$$

Work Step by Step

$$ \left\langle \ln 2, e\right\rangle+\left\langle \ln3, \pi\right\rangle=\left\langle \ln 2+\ln3, e+\pi\right\rangle $$ Recall the log rule: $\log(a\times b)=\log(a)+\log(b)$ $$=\langle \ln(2\times 3),e+\pi \rangle \\ =\langle \ln(6),e+\pi \rangle$$
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