Respuesta :
Answer:
Find the exact value using trigonometric identities.
Exact Form: x=34
Decimal Form: x=0.75
Step-by-step explanation:
The value of x is 3.
What is algebra?
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]
[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]
[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]
[tex]3^{-1}= 3^{1-x+1}[/tex]
[tex]3^{-1}= 3^{2-x}[/tex]
On comparing we get,
-1=2-x
x= 3
Hence, the value of x is 3.
Learn more about this algebra here:
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