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Lessons: http://www.MathAndScience.com Twitter: / jasongibsonmath In this lesson, you will learn what a natural logarithm is and how it is a special logarithm. 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Do let me know in the comment section and i will surely give a reply and a heart! 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We define the natural logarithm as an antiderivative of 1/x using the Second Fundamental Theorem of Calculus. 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This is not a logarithm identity but we can find an x-value to make it true. Subscribe for future algebra...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2794813/e8b2c514fc18bce37e5c77051b22d2d8/564x318_1"},"target":"_self","position":"17","reqid":"1776612934701442-17386406416296401735-balancer-l7leveler-kubr-yp-klg-26-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYZruyrgm0r4","linkTemplate":"/video/preview/10021281074849500021?parent-reqid=1776612934701442-17386406416296401735-balancer-l7leveler-kubr-yp-klg-26-BAL&text=LN&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How can ln(x+3)=ln(x)+ln(3)?","related_orig_text":"LN","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LN\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=YZruyrgm0r4\",\"src\":\"serp\",\"rvb\":\"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_AUADwAQAAIH_wEN_fkBCf7_AAP2__sCBP4A-PwJCgkAAADxBgEBCQAAAAYH-fv5_gEABvsC9vkAAAAE-QIHBv8AAAwB-QII_wEBCP_2CQT_AAAM_v0BAAAAAPgAAAIG-v8BAwED7gEAAAD99QD7_PX-ACAALXGG3js4E0AJSE5QAipzEAAaYDoWACMGNdjoJDHvBfPxNvMO-eyl7wT_6d4ACh8E3wbjxOLy9f863w37qQAAADH5AgTTAB1rAer8XfzQDM-G1ws4fxcf9AL9IOQD4U3vJhkj-9EKCgDX9vvvEskLSCYXIyAALW3lKTs4E0AJSG9QAiqvBhAMGqAGAABIQgAAXMIAACBBAADQQQAACMIAAIBBAAAsQgAAEMIAAFDCAABwQQAAQEIAABDCAAAAwAAAPMIAAKDAAADAwQAAgMAAAGDBAACQQQAA8MEAABBCAAAgQQAAFMIAAIC_AABkwgAAOEIAAMjCAADYQQAAgkIAAMDAAACQwQAAgL8AAKzCAAAwwQAANMIAADRCAAAAQgAAZEIAACDCAAB0QgAA2MEAAEDAAACwQQAA-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_AABwwQAAAEAAAMDAAADgwAAAMMEAAJjBAAAgwgAAkEEAAP5CAACiwgAADMIAAIA_AAAgwQAAhEIAAEzCAAAQwgAAaEIAAMDBAAAIQgAAgEEAABjCAAAwQQAAIMEAAJjBAABoQgAAQMAAAEDAAABQwQAAgEAgADgTQAlIdVABKo8CEAAagAIAAFy-AAAsPgAABL4AAII-AADIvQAAQDwAAIA7AABpvwAALL4AAEA8AAAEPgAANL4AANi9AABEPgAAED0AAOq-AACaPgAAlj4AAHA9AAA9PwAAfz8AADA9AAAQPQAADb8AADA9AACGvgAAqL0AAJK-AABAPAAAPD4AAJ4-AAAEPgAAbD4AAOi9AACqvgAAyL0AADA9AAAEvgAAvr4AANq-AABUPgAAFL4AAJg9AACIvQAAhj4AANg9AACgPAAAir4AAGy-AAA8vgAAiD0AABw-AACovQAAdD4AAIa-AAAkPgAAdz8AAKg9AADYPQAATD4AAMg9AACIvQAAHD4AADm_IAA4E0AJSHxQASqPAhABGoACAAAwvQAAgLsAADy-AABDvwAAgr4AAFw-AADqPgAA4DwAAMg9AACCPgAAFD4AAFC9AABQPQAAyD0AAFA9AABAvAAAqL0AABk_AACSvgAA3j4AABA9AAAEvgAA4DwAALi9AADIvQAAuD0AALi9AADgPAAAED0AAFA9AADgPAAAMD0AAGS-AACyvgAAUD0AAEC8AABAPAAAQLwAABy-AACYvQAABD4AAKg9AAD4PQAAoLwAAKA8AADYPQAAf78AAOg9AAD4PQAADL4AABC9AABEPgAAoLwAAJY-AAA0PgAAHD4AAEC8AACYvQAADD4AAOC8AAB0PgAA6L0AABw-AACAuyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=YZruyrgm0r4","parent-reqid":"1776612934701442-17386406416296401735-balancer-l7leveler-kubr-yp-klg-26-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10021281074849500021"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"18113825287630958516":{"videoId":"18113825287630958516","docid":"34-10-8-Z064F3448F2D8D35F","description":"We typically define ln(x), the natural logarithm of x, by first defining the exponential function of x, noting that this is a 1:1 function, and then defining ln(x) as the inverse function to...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2444666/f3102d047b787e7614f953ca04acdafb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zvXEBwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1776612934701442-17386406416296401735-balancer-l7leveler-kubr-yp-klg-26-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dq4SCJ81FVmM","linkTemplate":"/video/preview/18113825287630958516?parent-reqid=1776612934701442-17386406416296401735-balancer-l7leveler-kubr-yp-klg-26-BAL&text=LN&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Defining the Natural Logarithm as an 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