Question

If 2^x =30 find 2^(x+3) A)8 B)5 C)240 D)200 E)250 (Good Luck! Plz solve fast!)

Answer 1

the answer is c

Explanation:

Answer 2

C

Explanation:

So we already know that:

`2^x=30`

And we want to find the value of:

`2^(x+3)`

So, what you want to do here is to separate the exponents. Recall the properties of exponents, where:

`x^2\cdot x^3=x^(2+3)=x^5`

We can do the reverse of this. In other words:

`2^(x+3)=2^x\cdot 2^3`

If we multiply it back together, we can check that this statement is true.

Thus, go back to the original equation and multiply both sides by 2^3:

`2^x(2^3)=30(2^3)\\`

Combine the left and multiply out the right. 2^3 is 8:

`2^(x+3)=30(8)\\2^(x+3)=240`

The answer is C.