Use the properties of logarithms, given that In(2) x 0.6931 and In(3) x 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (a) In(0.75) x (b) In(288) x (c) In(V24) a (d) In(금) » [
Use the properties of logarithms, given that In(2) x 0.6931 and In(3) x 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (a) In(0.75) x (b) In(288) x (c) In(V24) a (d) In(금) » [
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![## Using Properties of Logarithms
Given that ln(2) ≈ 0.6931 and ln(3) ≈ 1.0986, approximate the following logarithms. Use a calculator to confirm your approximations.
### Problems:
**(a)** \[ \text{ln}(0.75) \approx \]
**(b)** \[ \text{ln}(288) \approx \]
**(c)** \[ \text{ln}\left(\sqrt[3]{24}\right) \approx \]
**(d)** \[ \text{ln}\left(\frac{1}{6}\right) \approx \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf85ad90-fab3-42b7-a16f-d68658bd6ca6%2Fe440d64b-92fd-4a61-9ad6-31d853a61fd0%2F7426gbd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Using Properties of Logarithms
Given that ln(2) ≈ 0.6931 and ln(3) ≈ 1.0986, approximate the following logarithms. Use a calculator to confirm your approximations.
### Problems:
**(a)** \[ \text{ln}(0.75) \approx \]
**(b)** \[ \text{ln}(288) \approx \]
**(c)** \[ \text{ln}\left(\sqrt[3]{24}\right) \approx \]
**(d)** \[ \text{ln}\left(\frac{1}{6}\right) \approx \]
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