Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member. Due Thursday This week you learned about exponential and logarithmic functions. Respond to the following prompts in a minimum of 175 words: Search the internet for real-world applications of logarithms or exponential functions. Share the application you discovered with the class along with how it relates to logarithms or exponential functions. Be sure to cite the resource. What is the relationship between exponentials and logarithms? Due Monday Post 2 replies to classmates or your faculty member. Be constructive and professional. Reply 1 Jasmine Ott: Exponential functions and logarithms both have many different practical uses in life. I thought that logarithms would be less so, however I have found that they are used to measure various different things such as sound, earth quakes, and even the brightness of stars. Logarithms seem to have a practical and common use in scientific fields. In the case of earth quakes, the Richter scale measures the magnitude of an earthquake with the formula R = log(A/A0). The variable A is found when a seismograph detects movement in the earth and outputs a measurement of amplitude (A), and A0 is the smallest detectable wave on the scale, used as a base standard. This formula is then solved to calculate the intensity of an earthquake. The formula for measuring sound is also quite similar. The relationship between exponential functions and logarithms is that they are the inverse of one another. A logarithm is essentially the opposite or mirror of its partnered exponential function, and vice versa. Resources: Mathematical Modeling with Exponential and Logarithmic Functions. (). http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U18_L4_T2_text_final.html#:~:text=Exponential%20and%20logarithmic%20functions%20are%20no%20exception!&text=Much%20of%20the%20power%20of,measure%20of%20acidity%20and%20alkalinity). Reply 2 William Graham: After searching the internet for real world application for logarithmic equation I came across a very interesting use, The Richter scale is used to calculate the amount of energy release by earth quakes. The Richter scale is a logarithmic scale used to express the total amount of energy released by an earthquake. Each number increase on the Richter scale indicates an intensity ten times stronger. For example, an earthquake of magnitude 5 is ten times stronger than an earthquake of magnitude 4. An earthquake of magnitude 6 is 10 × 10, or 100 times stronger. In general, a measure of under 5 on the Richer scales is considered a minor earthquake, while a measure over 7 indicates major destruction. There are lots of real world applications along with the Richter scale scientist also use logarithmic equation to measure sound decibles and measure the brightness of a star. Logarithms are also used in computer programming, programmer use these equations ensure software is properly programmed to effect a certain outcome. i`m sorry for my late entry for this weeks discussion i hope that i at least brought something to the conversation.