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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
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)** \[ \text{ln}\left(\frac{1}{6}\right) \approx \]
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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