Solve for x in this logarithm question

[tpent]

Homework Statement

log₂(x³)-3= 2log₂x

Homework Equations

None

The Attempt at a Solution

Do I start by expanding the x to the power 3 to the log which then makes it 3log₂x? or am I totally off track?
Any help is greatly appreciated. Thanks

 

[Mark44]

Homework Statement

log₂(x³)-3= 2log₂x

Homework Equations

None

The Attempt at a Solution

Do I start by expanding the x to the power 3 to the log which then makes it 3log₂x? or am I totally off track?
Any help is greatly appreciated. Thanks

That's a good start. Then move all your log terms to one side and add 3 to both sides.

 

[tpent]

x=8 ?

 

[Mark44]

Yes. Here's the check (which you could have done for yourself):

If x = 8, the left side is log₂(8³) - 3 = 3log₂(8) - 3 = 3*3 - 3 = 9 - 3 = 6.
The right side is 2 log₂(8) = 2*3 = 6.

 

[tpent]

thank you god bless