Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Determine the energy of an earthquake if its magnitude is $5.1 .$

$$2.82 \times 10^{19} \text { ergs }$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 7

Applications of Exponential and Logarithmic Functions

Oregon State University

McMaster University

Lectures

01:09

Determine the energy of an…

01:06

01:03

00:57

Determine the magnitude of…

01:02

01:05

01:04

02:46

Determine how the energies…

02:41

04:48

Suppose that the magnitude…

03:03

02:06

EARTHQUAKES Anchorage, Ala…

If the magnitude of an earthquake is 5.1, what is its energy? So using this relationship here between the magnitude energy of an earthquake, we should be able to find it. Start by plugging in the information that we do have. So on the left hand side we have the log of the energy which is what we're looking to find. It's equal to 11.8 Plus 1.5 times the magnitude of 5.1 which was given to us. Now we can simplify the right hand side so we are left with the log of our energy is equal to 19.45 helps now just to write this in exponential form Which will give us our energy is equal to 10 to the power of 19.45. You can then plug that 10 to the power of 19.4 500 calculator. And it'll give it back to us in scientific form. What we have is then 2.82 Times 10 to the power of 19 er eggs. So that gives us that energy of this earthquake given the magnitude is 5.1

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:09

Using the derivative, verify that the function in the indicated exercise is …

02:37

Solve for $x.$$$\frac{4^{x}-4^{-x}}{2}=1$$

02:26

Sketch on the same graph $y=f(x)=2^{x}$ and $y=g(x)=\frac{1}{2^{x}}=2^{-x} .…

03:16

For how long must $\$ 2200$ be left on deposit at $9.65 \%$ compounded conti…

Determine how the energies of two earthquakes differing by 1.5 in their magn…

02:34

Find and classify, using the second partial derivative test, the critical po…

01:56

Determine the equation of the tangent line at the given $x$ -coordinate.…

03:11

Use the properties of logarithms to find the derivative. Hint: It might be e…

01:58

If $0.5=e^{k},$ determine $k.$

Solve for $x.$$$\log x+\log (x+1)=\log 12$$