SOLUTION: Solve this equation. 2^-x=1/16

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve this equation. 2^-x=1/16      Log On


   

Question 627151: Solve this equation.
2^-x=1/16
Found 3 solutions by jim_thompson5910, reviewermath, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%28-x%29=1%2F16 Start with the given equation


2%5E%28-x%29=2%5E%28-4%29 Rewrite 1%2F16 as 2%5E%28-4%29


Since the bases are equal (to 2), the exponents must be equal.


So -x=-4 which means that x=4 is the answer

--------------------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------

Answer by reviewermath(1029) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2^-x = 2^-4
----------------------
-x = -4
X = 4
-------------
Cheers,
Stan H.