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## MBrecht92 Group Title Solve for x: 8^x = 1/6root(2) one year ago one year ago

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1. MBrecht92 Group Title

I'm guessing I should change the RHS to (1/2)^(1/6.) Am I right?

2. MBrecht92 Group Title

lol tkhunny saves the day again!

3. MBrecht92 Group Title

Hello to you as well, sasogeek

4. sasogeek Group Title

hi :)

5. tkhunny Group Title

First, I'm not clear on your notation. Is it $$8^{x} = \dfrac{1}{6}\sqrt{2}$$ or maybe $$8^{x} = \sqrt[6]{2}$$ or something else?

6. MBrecht92 Group Title

The latter.

7. MBrecht92 Group Title

Sorry. I don't know how to type expressions like this into the field.

8. MBrecht92 Group Title

Anyway..I imagine I'm supposed to end up with 2^3^x = (1/2)^(1/6)

9. MBrecht92 Group Title

And then 2^3x = 2^(-1/6)

10. tkhunny Group Title

No worries. Learning just a little LaTeX can go a long way. You just have to find other ways to communicate without it. Click the [Equation] button, below, and do some experimenting.

11. MBrecht92 Group Title

Alright, will do :). So...is the answer just (-1/6)/2?

12. tkhunny Group Title

Excellent! 2^(3x) is the real key to this problem's simplest solution. Same bases! If they are to be equal, the exponents must be equal. 3x = -1/6 if we started with $$\dfrac{1}{\sqrt[6]{2}}$$ or 3x = 1/6 if we started with $$\sqrt[6]{2}$$ or

13. MBrecht92 Group Title

Oh...of course. So it's (-1/6)/3, or -1/18

14. MBrecht92 Group Title

haha Thank you very much for the medal sasogeek, however undeserved it may be!

15. MBrecht92 Group Title

Thank you for all of your help!

16. sasogeek Group Title

it is well deserved :) you worked your way through to get the answer ;) and u got it right as well :)

17. MBrecht92 Group Title

Well, actually I got it wrong and then tkhunny guided me towards the correct answer, but I'm glad you think so!

18. MBrecht92 Group Title

A good night to all!

19. MBrecht92 Group Title

Though I'm sure I'll be back.

20. sasogeek Group Title

sure he did :) and that was great of him/her lol but at the end of the day, i think you deserve the medal for your effort :)

21. MBrecht92 Group Title

Well, once again, thank you very much!