SOLUTION: log of 1/16 in base 1/8 = x what does x equal?

Question 280011: log of 1/16 in base 1/8 = x
what does x equal?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
log of 1/16 in base 1/8 = x
what does x equal?
The change of base formula says:
1.) log base b (x) = (log base d (x))/(log base d (b))
Note that 1/8 = (1/2)^3 and that 1/16 = (1/2)^4. Letting d = 1/2 in 1.) above we have:
x = log base 1/8 (1/16) = (log base 1/2 (1/16))/(log base 1/2 (1/8))
x = 4/3

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