SOLUTION: Solve a) 2^(z-3) = 1/16 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)

Algebra ->  Exponents -> SOLUTION: Solve a) 2^(z-3) = 1/16 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)      Log On


   

Question 752316: Solve
a) 2^(z-3) = 1/16
Can you please help me out? Thanks so much in advance:)
Can you please show the steps it would really help me understand:)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%28z-3%29+=+1%2F16+
We can write 1/16 as a power of 2 also
2%5E%28z-3%29+=+2%5E%28-4%29+
If the numbers are equal, the exponents are equal, therefore:
z - 3 = -4
z = -4 + 3
z = -1
:
:
Check this: 2%5E%28%28-1-3%29%29+=+2%5E%28-4%29+ which is 1/16