SOLUTION: log4(64/y)=? 4 to what power = 64/y How do I go about solving this?

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Question 615329: log4(64/y)=?
4 to what power = 64/y
How do I go about solving this?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2C%2864%2Fy%29%29
This is an expression. Expressions are simplified, not solved.

Simplifying this expression requires that we recognize a) that 64 is a power of 4 so its base 4 logarithm can be found; and b) that there is a property of logarithms, log%28a%2C+%28p%2Fq%29%29+=+log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29, that will allow us to separate the 64 and the y.

log%284%2C%2864%29%29+-+log%284%2C+%28y%29%29
And since 64+=+4%5E3 this simplifies to:
3+-+log%284%2C+%28y%29%29