algebra 2 problem

Question

I need to solve and simplify this problem 2^2x+1=8

Answer 1

We know that 2³ is 8.

 

(2)^{2x + 1} = (2)³

 

 

Since the bases are the same, we only need to equate the exponents.

 

2x + 1 = 3

 

 

Now solve for x.

Answer 2

2^(2x+1)=8

2^(2x+1)=2^(3) because 2^3=8

equal bases mean equal exponents

2x+1=3

2x=2

x=1

look at the number itself and see if it can be expressed as a power of a smaller number like the base on the other side !!

125=5^3 and 8=2^3 etc.