SOLUTION: Hi, Here is my troublesome question: What is x if: log(subscript x)(16) = -2. I think the term subscript is correct but if not there is a small x to the lower aspect of "log." H

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, Here is my troublesome question: What is x if: log(subscript x)(16) = -2. I think the term subscript is correct but if not there is a small x to the lower aspect of "log." H      Log On


   

Question 479540: Hi,
Here is my troublesome question:
What is x if: log(subscript x)(16) = -2. I think the term subscript is correct but if not there is a small x to the lower aspect of "log." Hope this makes sense!
Please and thanks!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log(subscript x)(16) = -2
log%28x%2C16%29+=+-2
Based on "log rules", this is equivalent to:
16+=+x%5E%28-2%29
16+=+1%2Fx%5E2
16x%5E2+=+1
x%5E2+=+1%2F16
x = 1/4