SOLUTION: Given that {{{u = log(base9)x}}}, find in terms of u, i) {{{log(base3)x}}} ii) {{{log(base9)27x}}} iii) {{{log(base2)81}}} *Please answer as soon as possible bro. :) =)

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Question 466508: Given that , find in terms of u,
i)
ii)
iii)
*Please answer as soon as possible bro. :) =)

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Given that , find in terms of u,
i)
ii)
iii)
...
log9(x)=u
exponential form:9^u=x
..
log3(x)
exponential form:(3^2)^u=3^2u=9^u=x
log3(x)=2u
..
log9(27x)
log9(x)+log9(27)
log9(x)+log9(9)+Log9(3)
log9(27x)=u+1+1/2=u+3/2
..
log2(81)
sorry, I don't know how to do this one.
Let me know when you find the right ans.

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