Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 4

Answer

$2$$\log x$ +$\log y$ - $\log z$

Work Step by Step

we can expand $\log (\frac{x^2y}{z})$ to get _______ Through observation we can see that the variables $x^{2}$ and $y$ are being multiplied which are then divided by $z$. This comes out to reveal that the first law and the second law are present. We can rewrite the problem as: $\log x^2$ + $\log y$ - $\log z$ $\log x^2$ follows the third law so we can expand the statement again to $2$$\log x$ +$\log y$ - $\log z$
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