SOLUTION: What's the logarithmic form of? 4^-2=1/6

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Question 448012: What's the logarithmic form of?
4^-2=1/6
Found 2 solutions by jim_thompson5910, lwsshak3:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the idea that b%5Ey=x can be written as log%28b%2C%28x%29%29=y to get


4%5E%28-2%29=1%2F6 becomes log%284%2C%281%2F6%29%29=-2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What's the logarithmic form of?
4^-2=1/6
..
4^-2=1/6
This given equation is not correct. 4^-2=1/4^2=1/16
I will answer the question assuming the correct equation is 4^-2=1/16
What you see here is the exponential form of a logarithm, which in effect says: The base(4), raised to the logarithm of the number(-2), is equal to the number(1/16).
..
So, in logarithm form:
logarithm of (1/16) to the base (4) is equal to -2
or log4(1/16)=-2