Answer:
x=2
Step-by-step explanation:
- To convert log into power then you just ask yourself what makes that number in the bottom = the number between brackets
Example: here [tex]Log_{4}(8) =\frac{3}{2}[/tex] so to make sure: try [tex]4^{\frac{3}{2} }=8[/tex]
so [tex]Log_{4}(x) +\frac{3}{2}= 2[/tex] subtract [tex]\frac{3}{2}[/tex] from both sides
[tex]Log_{4}(x)}= \frac{1}{2}[/tex]
Now lets say [tex]4^{\frac{1}{2} }=2[/tex]
So that means that we already got the power and the number 4
(note: [tex]Log_{4}(8)=\frac{3}{2}[/tex] is the same as [tex]4^{\frac{3}{2} }=8[/tex])
