SOLUTION: Pls help in solving:{{{log base 8^(16)-3log base8^(4) + 1.5log base 8^(8)-2}}}

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Question 999111: Pls help in solving:log+base+8%5E%2816%29-3log+base8%5E%284%29++++%2B++++1.5log+base+8%5E%288%29-2
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.
Pls help in solving:log+base+8%5E%2816%29-3log+base8%5E%284%29++++%2B++++1.5log+base+8%5E%288%29-2
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Hello, your writing was absolute nonsense (sorry).

As I understand, it should be

log%288%2C16%29 - 3%2Alog%288%2C4%29 + 1.5log%288%2C8%29 - 2.

Did I decipher correctly?

If so, then the solution is as follows:

log%288%2C16%29 - 3%2Alog%288%2C4%29 + 1.5%2Alog%288%2C8%29 - 2 =

log%288%2C+%2816%29%29 - log%288%2C+%284%5E3%29%29 + 1.5%2A1 - 2 =

log%288%2C+%2816%2F%284%5E3%29%29%29 - 0.5 =

log%288%2C+%281%2F4%29%29 - 0.5 =

1%2F3.log%282%2C+%281%2F4%29%29 - 0.5 =

= 1%2F3*%28-2%29 - 0.5 = -2%2F3 - 1%2F2 = -7%2F6.

Do you understand every step of these transformations?
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I saw that you just made first steps, so you can go further and improve your skills.

Good luck!