Question

How do you simplify this?

logbase8(logbase3(logbase2^512))

Answer 1

Maybe you can use the equation editor?

Answer 2

start from the inside out
what is \[\log_2(512)\] ? solve \[2^x=512\] first

Answer 3

\[\log _{8}(\log _{3}(\log _{2}512))\]

Answer 4

2^9

Answer 5

Start from the way inside, like the math rule. Then work way outward.

Answer 6

ok so now you are at \[\log _{8}(\log _{3}(\log _{2}512))=\log _{8}(\log _{3}(9))\]

Answer 7

next solve \(3^x=9\) don't think too hard

Answer 8

let me know when you get 2

Answer 9

got it :)

Answer 10

ok so now comes the only hard part, (not that hard) computing \[\log_8(2)\]

Answer 11

1/3

Answer 12

bingo!

Answer 13

since \[8^{\frac{1}{3}}=2\] you have \[\log_8(2)=\frac{1}{3}\] you are not doing that badly!

Answer 14

My final answer would be that? & I'm sorry I just can't understand precal! :(

Answer 15

lol you just did it
what is not to understand?
looks like you are psyching yourself out
yes the answer is 1/3

Answer 16

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 :(

Answer 17

But thank you so much! Once again :)

Answer 18

yw