provide a logarithmic problem (question and solution) for the given situations provided on the photos.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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provide a logarithmic problem (question and solution) for the given situations provided on the photos.

4 That's why logarithm is important Now Let's understand this with
real life example
4 Richter Seale to which is used to Measure Earthquake.
-] Let's talk about Earthquake that happend in three different country.
9-0
Richter
Scale
LE
6.0
"
India
7-0
+
U-S
•] m India, U.S& Japan the Magnitude of Earthquake registered was
6-0,7-0, 9.0 respectively, Richter Scale is base 10 logarithm Scale
which means they are in the form of log, M
M-D Magnitude of Earthquake.
M=106
Japan
If
log, M = 6 →
& log/11=9=> 71=10²
7
Lp That means we com Represent variation from 10⁰
Manageable Scale.
; log M1 = 7 => M=10²
|
10 in a
Transcribed Image Text:4 That's why logarithm is important Now Let's understand this with real life example 4 Richter Seale to which is used to Measure Earthquake. -] Let's talk about Earthquake that happend in three different country. 9-0 Richter Scale LE 6.0 " India 7-0 + U-S •] m India, U.S& Japan the Magnitude of Earthquake registered was 6-0,7-0, 9.0 respectively, Richter Scale is base 10 logarithm Scale which means they are in the form of log, M M-D Magnitude of Earthquake. M=106 Japan If log, M = 6 → & log/11=9=> 71=10² 7 Lp That means we com Represent variation from 10⁰ Manageable Scale. ; log M1 = 7 => M=10² | 10 in a
↳ When we have to plot a huge Numerical value on the Number
Line then we use logarithm eig.
n
105
1
10
1000
+
8
10
104
+
+
LD when we have to plot all those number which varies drastically
then it's become very difficult for us to plot if we take scale
Small then it is almost impossible to plot 10¹4 on it if we
take scale which is very large then numbers like 1, 10, 1000
becomes very close to zero we can't even differentiate between
them
4 That's why logarithm is important Now Let's understand this with
real life example
Transcribed Image Text:↳ When we have to plot a huge Numerical value on the Number Line then we use logarithm eig. n 105 1 10 1000 + 8 10 104 + + LD when we have to plot all those number which varies drastically then it's become very difficult for us to plot if we take scale Small then it is almost impossible to plot 10¹4 on it if we take scale which is very large then numbers like 1, 10, 1000 becomes very close to zero we can't even differentiate between them 4 That's why logarithm is important Now Let's understand this with real life example
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