Question

Help solve for: 2^x+3 – 2^x = 224

Answer 1

\[\Large 2^{x+3} - 2^{x} = 224\]


\[\Large 2^{x}*2^{3} - 2^{x} = 224\]


\[\Large 2^{x}*8 - 2^{x} = 224\]


\[\Large 8*2^{x} - 2^{x} = 224\]


\[\Large 8z - z = 224 \ ... \ \text{Let } z = 2^x\]


\[\Large 7z = 224\]


I'll let you finish up.

Answer 2

Keep in mind that your final answer will be of the form x = ... and not z = ...

Answer 3

z= 224/7
z= 32

2^x = 32

2^5 = 32

x=5

Answer 4

Thank you

Answer 5

very good