Question

How many times as intense as a standard earthquake is a earthquake measuring 3.1 on the richter scale?

Answer 1

what is the intensidy of a standard earthquake?

Answer 2

I'm pretty sure you have the formula for this somewhere.

Answer 3

i havent been given any formuals other than basic ones

Answer 4

R = log[ I ÷ I0 ]

Answer 5

M=log I/S

Answer 6

Hint: Solve for I (capital i)

Answer 7

After that, plug in M = 3.1

Answer 8

Keep in mind that \[\Large I_{0}\] is the "standard earthquake"

Answer 9

so if i solve for I what do i start with?

Answer 10

well the intensity of it anyway

Answer 11

I would convert the given equation to exponential form

Answer 12

to start things off

Answer 13

i was gunna start with m=log 3.1/s

Answer 14

no, m = 3.1 since m is the magnitude

Answer 15

3.1=log I/S

Answer 16

yes

Answer 17

now convert to exponential form

Answer 18

i dont know how to do that

Answer 19

Use the idea that

\[\Large \log_{b}(x) = y\]

is the same as

\[\Large b^y = x\]

Answer 20

i still dont understand
im left with log I/S correct

Answer 21

and log is to the base 10

Answer 22

When you convert

\[\Large 3.1 = \log\left(\frac{I}{S}\right)\]

to logarithmic form, you get

\[\Large 10^{3.1} = \frac{I}{S}\]

Answer 23

Now solve for i

Answer 24

10^3.1 becomes 1258

Answer 25

1258.92541179417

but you pretty much have it

Answer 26

ok so do i bring over the I or what?

Answer 27

\[\Large 3.1 = \log\left(\frac{I}{S}\right)\]


\[\Large 10^{3.1} = \frac{I}{S}\]


\[\Large 1258.92541 = \frac{I}{S}\]

Answer 28

now isolate 'i'

Answer 29

by moving that 's' over

Answer 30

so it becomes 1258/S

Answer 31

no

Answer 32

Multiply both sides by S.

Answer 33

1258s ?= I

Answer 34

yes

\[\Large 3.1 = \log\left(\frac{I}{S}\right)\]


\[\Large 10^{3.1} = \frac{I}{S}\]


\[\Large 1258.92541 = \frac{I}{S}\]


\[\Large 1258.92541S = I\]


\[\Large I = 1258.92541S\]

Answer 35

The right side says "1258.92541 times S"

Answer 36

ok so final answer is the earthquake is 1258 time S for intense than the standard earthquake?

Answer 37

no, just roughly 1258.92541

Answer 38

a magnitude 3.1 is roughly 1258.92541 times more intense than a standard earthquake

Answer 39

S is the intensity of the standard earthquake

Answer 40

ok thank you a bunch

Answer 41

np