   Chapter 4.4, Problem 87E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Using a Property of Logarithms Demonstrate that In  x In  y ≠ In  x y = In  x − In  y by using a spreadsheet to complete the table. x y In  x In  y In x   y In  x − In  y 1 2 3 4 10 5 4 0.5

To determine

To prove: The expression lnxlnyln(xy)=lnxlny by completing the following table by using spreadsheet:

 x y lnxlny ln(xy) lnx−lny 1 2 3 4 10 5 4 0.5
Explanation

Given Information:

The provided table is as follows:

 x y lnxlny ln(xy) lnx−lny 1 2 3 4 10 5 4 0.5

Proof:

Steps to complete the table for the given values of x and y using spreadsheet are as follows:

Step 1: Insert “x”, “y”, “lnxlny”, “ln(xy)” and “lnxlny” from cell A1 to E1.

Step 2: Insert the values of x and y from cell A2 to A5 and B2 to B5 respectively.

Step 3: Insert the formula “=LN(A2)/LN(B2)” in cell C2 and drag it till cell C5

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