My Math Forum Applying laws of logarithms and relations

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 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: 7,475 Thanks: 886 Math Focus: Elementary mathematics and beyond \begin{align*}y&=\frac14\log_2\left[(8x-56)^{16}\right]-12 \\ &=16\cdot\frac14\log_2(8x-56)-12 \\ &=4\log_2(8x-56)-12 \\ &=4\log_2[8(x-7)]-12 \\ &=4\left(\log_28+\log_2(x-7)\right)-12 \\ &=4(3+\log_2(x-7))-12 \\ &=12+4\log_2(x-7)-12 \\ &=4\log_2(x-7)\end{align*} Perhaps they are asking for you to state that each representation of $y$ has domain $x > 7$. Thanks from clvinyl
 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 Thanks from greg1313

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