SOLUTION: What's the solution for log64 1/4=x?

Question 630651: What's the solution for log64 1/4=x?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

The key here is to notice that both 64 and 1/4 are powers of 4: and . So this expression will simplify quickly if we change the base to 4.

The change of base formula is

Using this on our expression, to change the base from 64 to 4, we get:

Since we know what powers of 4 64 and 1/4 are, we can substitute in for those logs:

And we're finished!
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