
PreCalculus PreCalculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 10th, 2017, 07:38 PM  #1 
Newbie Joined: Jan 2017 From: Canada Posts: 2 Thanks: 1  Applying laws of logarithms and relations
Hey, I'm stumped on the second part of a question that asks: Here's my simplification: I'm unsure if I took it too far, however I don't understand the second part of the question. How would they be related? Any and all help would be great, thanks. 
January 10th, 2017, 07:54 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,745 Thanks: 1001 Math Focus: Elementary mathematics and beyond 
$$\begin{align*}y&=\frac14\log_2\left[(8x56)^{16}\right]12 \\ &=16\cdot\frac14\log_2(8x56)12 \\ &=4\log_2(8x56)12 \\ &=4\log_2[8(x7)]12 \\ &=4\left(\log_28+\log_2(x7)\right)12 \\ &=4(3+\log_2(x7))12 \\ &=12+4\log_2(x7)12 \\ &=4\log_2(x7)\end{align*}$$ Perhaps they are asking for you to state that each representation of $y$ has domain $x > 7$. 
January 10th, 2017, 08:01 PM  #3 
Newbie Joined: Jan 2017 From: Canada Posts: 2 Thanks: 1 
I see. Thank you for the correction as well, Greg


Tags 
applying, laws, logarithms, relations 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Applying Rolle's Theorem  bobcantor1983  Calculus  1  October 1st, 2013 02:49 PM 
Applying L'Hopital's Rule  soulrain  Calculus  3  June 22nd, 2012 10:01 PM 
Applying game theory...  FireEater  Economics  1  June 3rd, 2011 09:38 AM 
Laws of Logarithms  ChloeG  Algebra  3  May 3rd, 2011 04:34 AM 
Applying game theory...  FireEater  Applied Math  1  December 31st, 1969 04:00 PM 