anonymous
  • anonymous
How do you simplify this? logbase8(logbase3(logbase2^512))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Maybe you can use the equation editor?
anonymous
  • anonymous
start from the inside out what is \[\log_2(512)\] ? solve \[2^x=512\] first
anonymous
  • anonymous
\[\log _{8}(\log _{3}(\log _{2}512))\]

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anonymous
  • anonymous
2^9
anonymous
  • anonymous
Start from the way inside, like the math rule. Then work way outward.
anonymous
  • anonymous
ok so now you are at \[\log _{8}(\log _{3}(\log _{2}512))=\log _{8}(\log _{3}(9))\]
anonymous
  • anonymous
next solve \(3^x=9\) don't think too hard
anonymous
  • anonymous
let me know when you get 2
anonymous
  • anonymous
got it :)
anonymous
  • anonymous
ok so now comes the only hard part, (not that hard) computing \[\log_8(2)\]
anonymous
  • anonymous
1/3
anonymous
  • anonymous
bingo!
anonymous
  • anonymous
since \[8^{\frac{1}{3}}=2\] you have \[\log_8(2)=\frac{1}{3}\] you are not doing that badly!
anonymous
  • anonymous
My final answer would be that? & I'm sorry I just can't understand precal! :(
anonymous
  • anonymous
lol you just did it what is not to understand? looks like you are psyching yourself out yes the answer is 1/3
anonymous
  • anonymous
It's hard, i'm so use to having the calculator do the work which is why I don't know what to do without a calculator since we can't use the calculator for these problems :(
anonymous
  • anonymous
But thank you so much! Once again :)
anonymous
  • anonymous
yw

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