Answer:
x is 4
Step-by-step explanation:
Given the function
3^(2x+1) = 3^(x+5)
In indices, if the base of functions at both sides of an equation is the same, they cancel out. e.g
If a^x = a^y, then x = y
Similarly for the given function, the base 3 will cancel out from both sides of the equation to have the equivalent expression to be;
2x+1 = x+5
Solving the resulting equation for x;
First we take x+5 to the other side;
2x+1-x-5 = 0
We then collect the like terms and solve for x
2x-x+1-5 = 6
x -4 = 0
x + 0+4
x = 4
