**Solve log**

_{2}(log_{8}(x)) = log_{8}(log_{2}(x)).Because 2

^{3}= 8, I'm wondering if changing bases might help? thank you for your advice.

- maggiemagnet
**Posts:**357**Joined:**Mon Dec 08, 2008 12:32 am-
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Because 2

- stapel_eliz
**Posts:**1628**Joined:**Mon Dec 08, 2008 4:22 pm-
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maggiemagnet wrote:Solve log_{2}(log_{8}(x)) = log_{8}(log_{2}(x)).

Because 2^{3}= 8, I'm wondering if changing bases might help? thank you for your advice.

I think you're on the right track. Use

...so:

Also:

Using

Then:

Then log

Comparing with the original expressions, you can't have x = 1, because then log

Whew! I'll leave the check of the other solution value to you.

- maggiemagnet
**Posts:**357**Joined:**Mon Dec 08, 2008 12:32 am-
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Goodness! Now I don't feel so bad about bogging down!

Thank you so much!

Thank you so much!