Answered: Find simpler expressions for the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 16E

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Question

Find simpler expressions for the quantities e^{ln x-ln y}

Expert Solution

Step 1

We have to find simpler expression for the given quantities:

$e^{\ln (x) - \ln (y)}$

We know that

$\begin{array}{rcl} a^{m - n} & = & \frac{a^{m}}{a^{n}} \\ a^{\log_{a} (x)} & = & a \\ e^{\ln (x)} & = & x (\sin c e \ln (x) = \log_{e} (x)) \end{array}$

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