Answer:
4
Explanation:
To compute a log that doesn't have a base of 10 you use the following formula
Log(number)/Log(base)
We can use this formula to compute the numbers with no variables
Log₃18= Log(18)/log(3) which gives us around 2.63
We can then compute the first part of the right side 2*log₃6 which can be rewritten as 2*(log(6)/log(3)) which gets us around 3.26
After computing this we can rewrite it all as 2.63=3.26-(.5*log₃x)
This is pretty easy to solve from here and we start by subtracting 3.26 from both sides which gives up
-.63=.5*log₃x
Dividing both sides by negative one half (or .5) gives us
1.26=log₃x
You then can use a special rule to rewrite this equation
3^1.26=x
This gives us 3.99 which is pretty much 4