Answer:
[tex]x=4[/tex]
Step-by-step explanation:
Given:
[tex]3^(2x+1)=3^(x+5)[/tex]
For the given equation, the base of the equation is similar on both L.H.S and R.H.S.
We can equate the powers of same base on right hand side and left hand side
As the given equation have same base on L.H.S and R.H.S. So, equating the powers to find the value of 'x':
[tex]2x+1=x+5[/tex]
[tex]2x-x=5-1\\x=4[/tex]
So, the value of 'x' in the above equation is 4
