Laws of Logarithms: ln(x^r) = r*ln(x)

In this video I go over another logarithm law and prove that ln(x^r) = r*ln(x) where r is a rational number. In this proof I use derivatives and integrals as opposed to my earlier video which I proved using the definition of ln(x) as the inverse of the exponential function, e^x.

Download the notes in my video: http://1drv.ms/1h6HXBI

Related Videos:

Natural Logarithmns Defined as Integrals: Introduction: http://youtu.be/M-N2PQ5UZns Laws of Logarithms: ln(x*y) = ln(x) + ln(y): http://youtu.be/2SCZzFy2b2s Laws of Logarithms: ln(x/y) = ln(x) - ln(y): http://youtu.be/GXkyY9EmDGM Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk Inverse Functions - f-1(x) - An Introduction: http://youtu.be/qIqj3oKwFi8 Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI Natural Logarithms, Log base 10, and Some Examples Using Logs: http://youtu.be/XRSkMk5L3pk .

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

Like, Subscribe, Favorite, and Comment Below!

Follow us on:

Official Website: https://MES.fm Steemit: https://steemit.com/@mes Gab: https://gab.ai/matheasysolutions Minds: https://minds.com/matheasysolutions Twitter: https://twitter.com/MathEasySolns Facebook: https://fb.com/MathEasySolutions LinkedIn: https://mes.fm/linkedin Pinterest: https://pinterest.com/MathEasySolns Instagram: https://instagram.com/MathEasySolutions Email me: contact@mes.fm

Try our Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm

Try our Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps ... https://www.youtube.com/watch?v=mvJK8lQcdTY