Equation with logarithm in power

[wit]

How do I solve this?

 

[Ishuda]

How do I solve this?

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

As a hint, use what you know about logarithms:
log(a^b) = b log(a)
log(ab) = log(a) + log(b)
so, for example, if we take logs base 3 across we have
log₃(3x)^{(1+log₃(x))} = log₃(3)

 

[Deleted member 4993]

How do I solve this?

Take Log on both sides:

[1 + Log₃(x)] * [Log₃(x) + 1] = 1

substitute

u = Log₃(x)

and continue....