logarithms power equation I got a home work question

resaplaha7dl

resaplaha7dl

Answered question

2022-03-22

logarithms power equation
I got a home work question to solve the following:
27x2<xlog3x
can any one please explain how to solve this type of equation? I have no idea what to do or what to search for.

Answer & Explanation

Cailyn Hanson

Cailyn Hanson

Beginner2022-03-23Added 11 answers

If r=log3x, then 3r=x.
Since 27=33, then you can rewrite the left hand side as
27x2=33(3r)2=33×32r=33+2r.
On the other hand, the right hand side would be
xlog3x=xr=(3r)r.
Can you take it from here?

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