SOLUTION: 5. Change the logarithmic expression to an equivalent expression involving an exponent. log[2](1/32)=k can someone help me out?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 5. Change the logarithmic expression to an equivalent expression involving an exponent. log[2](1/32)=k can someone help me out?      Log On


   

Question 471049: 5. Change the logarithmic expression to an equivalent expression involving an exponent.
log[2](1/32)=k
can someone help me out?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
5. Change the logarithmic expression to an equivalent expression involving an exponent.
log[2](1/32)=k
**
log[2](1/32)=k
log2(1/2^5)=k
log2(2^-5)=k
convert to exponential form:(base(2) raised to log of number(k)=number(2^-5)
2^k=2^-5
k=-5