» Part 1Logarithms initially originated in an early form, alongside the tables of logarithms published by the Augustinian monk Michael Stifel when he published "Arithmetica integra" in 1544. In the same publication, Stifel also became the first person to use the word “exponent” and the first to indicate multiplication without using a symbol. In addition to his mathematical discoveries, he also later anonymously published his prediction that at 8 a.m. on October 19, 1533, the world would end and it would be judgment day. However, Scottish astronomer, physicist, mathematician and astrologer John Napier is best known as the person who discovered them through his work in 1614 entitled "Mirifici Logarithmorum Canonis Descriptio". The reason they were created is to present and express numbers in a new, easy-to-use form. He was successful because logarithms can be applied to many commonly used functions today. However, they were even more useful at the time they were created because no calculators existed. Scientists (astronomers in particular) had to perform enormous amounts of calculations on paper, which was time consuming and impractical. When logarithms were introduced to them, they did not have to spend as much time on tedious calculations. Logarithms are essentially just exponents, because they display values ​​using a base number raised to a given exponent. Stifel created its logarithm tables to transform complex multiplication and division problems into addition and subtraction equations.” Part 2Logarithms have the ability to replace a geometric sequence with an arithmetic sequence because they raise a base number by an exponent. A simple example can be provided with a geome...... middle of paper ......1.254 = 2.4414(1+1/5)5 = 1.25 = 2.4883(1+1/ 10)10 = 1.110 = 2.5937(1+1/100)100 = 1.01100 = 2.7048(1+1/1000)1000 = 1.0011000 = 2.7169(1+1/10000)10000 = 1.000110000 = 2.7181(1+1/∞)∞ = (1+ ∞ ) ∞ = 2.7182818284590452353602874713526624977572470936... = eWorks cited http://betterexplained.com/articles/an-intuitive-guide-to -exponential-functions -e/http://oakroadsystems.com/math/loglaws.htmhttp://www.physics.uoguelph.ca/tutorials/LOG/http://en.wikipedia.org/wiki/Michael_Stifelhttp://en.wikipedia .org/wiki/John_Napierhttp://www.ndt-ed.org/EducationResources/Math/Math-e.htmhttp://www.thocp.net/reference/sciences/mathematics/logarithm_hist.htmhttp://mathforum.org /dr.math/faq/faq.pi.html http://www.recoveredscience.com /constanteofgrowth.htm http://www.mathworksheetscenter.com/mathtips/logarithms.html http://www.zyra.org.uk/log -e.htm