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torisob [31]
3 years ago
15

What is the solution to the equation 1/square root of 8 = 4^(m + 2)?

Mathematics
2 answers:
Digiron [165]3 years ago
8 0
Take the log (base 4) of both sides of the equation.
\log_{4}(\frac{1}{\sqrt{8}}) = m + 2
\frac{-1}{2} \log_{4}(4^{\frac{3}{2}})-2 = m
-2 \frac{3}{4}= m

The appropriate choice is ...
  m = -11/4
salantis [7]3 years ago
6 0
I agree with the other person, the answer is -11/4


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