Comments on: How do i take the natural log of both sides when the equation is y= (3x+3)^(5x+1)? http://www.about-siding.com/how-do-i-take-the-natural-log-of-both-sides-when-the-equation-is-y-3x35x1/152/ Your Questions, Our Answers Thu, 09 Feb 2012 03:23:02 +0000 http://wordpress.org/?v=2.2.1 By: lon_usa2003 http://www.about-siding.com/how-do-i-take-the-natural-log-of-both-sides-when-the-equation-is-y-3x35x1/152/#comment-236 lon_usa2003 Thu, 16 Aug 2007 12:13:04 +0000 http://www.about-siding.com/how-do-i-take-the-natural-log-of-both-sides-when-the-equation-is-y-3x35x1/152/#comment-236 Simple. ln y = ln (3x+3) ^ 5x+1 ln y = bring the exponent down so... (5x+1) ln (3x+3) Then, raise everything to the e power so... e^ln y = e^ (5x+1) e^ ln (3x+3) Now e to the power of ln y just equals y, so... y = (3x+3) e ^ (5x+1) That's it. Hoped it helped Simple.

ln y = ln (3x+3) ^ 5x+1
ln y = bring the exponent down so… (5x+1) ln (3x+3)

Then, raise everything to the e power so…

e^ln y = e^ (5x+1) e^ ln (3x+3)

Now e to the power of ln y just equals y, so…

y = (3x+3) e ^ (5x+1)

That’s it. Hoped it helped

]]> By: unreliable thinker http://www.about-siding.com/how-do-i-take-the-natural-log-of-both-sides-when-the-equation-is-y-3x35x1/152/#comment-235 unreliable thinker Wed, 15 Aug 2007 14:30:43 +0000 http://www.about-siding.com/how-do-i-take-the-natural-log-of-both-sides-when-the-equation-is-y-3x35x1/152/#comment-235 ln y = (5x+1) ln (3x + 3) ln stands for log to the base e ln y = (5x+1) ln (3x + 3)
ln stands for log to the base e

]]>