3^-x =22

what is the exact solution
x=_____
OR
there is no solution

What is the decimal approximation for the solution?
x=__________
OR
There is no solution

Question

3^-x =22

what is the exact solution
    x=_____
      OR 
    there is no solution

What is the decimal approximation for the solution?
     x=__________
           OR
    There is no solution

anonymous · Answer

Alright, you can take the log on both sides,
-x log3=log22
x=- (log22)/(log 3)

anonymous · Answer

wow thank you!

anonymous · Answer

didn't know that it was that simple

anonymous · Answer

Don't mention. Whenever you have some trouble with exponents, mostly the solution comes in logarithms.