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2^X =1/4
The answer is -2
can someone please explain this
The answer is -2
can someone please explain this
You can solve for X explicitly by taking the base-2 logarithm of both sides, but you should probably be able to realize that 1/4 is just 1/2^2 = 2^(-2) by inspection.
It's really very simple, and you don't need to take logs (or ln's).
2^x= 1/4 means "2 raised to what power equals 1/4. Obviously (1/2)^2=1/4. Reciprocal powers (1/n)^x are defined as n^-x, so that gives you the general answer. The answer in this particular case is "-2".
I prefer logs, since i understand them betterI agree. You don't - and shouldn't - need to use logs for this problem. But, I wanted to be complete since I had mentioned it in my original response.