Question

What common base can be used to rewrite each side of the equation 2^(x+3)-3=5

Answer 1

Answer:

2⁽ˣ⁺³⁾ = 2³  the common base is 2 in both sides of equation.

Step-by-step explanation:

We have given the equation:

2⁽ˣ⁺³⁾-3=5

We have to rewrite each side of the equation with common base.

As we see that in equation the base is 2.

We have to make 2 as common base in each side of equation.

2⁽ˣ⁺³⁾-3=5

Adding 3 on both sides of equation we get,

2⁽ˣ⁺³⁾-3+3=5+3

2⁽ˣ⁺³⁾ = 8

We cab write 8 as 2³ so, we get,

2⁽ˣ⁺³⁾ = 2³

In the above equation common base is 2.

Answer 2

Answer: $2^{(x+3)}=2^{3}$ (The common base is 2).

Step-by-step explanation:

You have the equation given in the problem:

$2^{(x+3)}-3=5$

Then base of $2^{(x+3)}$ is 2. Therefore, the common base must be 2.

If you add 3 to both sides of the equation, you obtain:

 $2^{(x+3)}-3+3=5+3$

 $2^{(x+3)}=8$

If you descompose 8 into its prime factors, you obtain that it can be written as:

8=2*2*2=2³

Therefore, you can you rewrite each side of the equation as following:

$2^{(x+3)}=2^{3}$

Where the common base is 2.