SOLUTION: Given that {{{u=log(base9)x}}}, FIND IN TERMS OF U, {{{log(base2)81}}} *PLEASE ANSWER AS SOON AS POSSIBLE BRO!!!!!! :) =) BTW, you are supposed to somehow express {{{log(ba

Question 467239: Given that , FIND IN TERMS OF U,

*PLEASE ANSWER AS SOON AS POSSIBLE BRO!!!!!! :) =) BTW, you are supposed to somehow express in terms of u, and not solve it with a calulator. :)
Found 2 solutions by Big Poop, josmiceli:
Answer by Big Poop(157) (Show Source): You can put this solution on YOUR website!
Hey bro :)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
given:

(1)
I will say that:

(2)
Now the problem is to find in terms of
I will take the th root of both sides of (2)
(2)
(2)
--------------
Now I will raise each side of (2) to the power
(2)
but,
(1)
so,

take log base 2 of both sides

This is the best I can do, because if I do the
substitution , then just
gets eliminated from the equation.
-------------------------------
check answer using my Casio fx-115ES
I'll pick any value for , like
(1)
(1)
Take log base 9 of both sides
(1)
(1)
and

so

close enough
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