matthewe1903 matthewe1903
  • 01-05-2018
  • Mathematics
contestada

What is the solution to the equation 1/square root of 8 = 4^(m + 2)?
m = −15/4
m = −11/4
m = 5/4
m = 9/4

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 01-05-2018
Take the log (base 4) of both sides of the equation.
[tex]\log_{4}(\frac{1}{\sqrt{8}}) = m + 2[/tex]
[tex]\frac{-1}{2} \log_{4}(4^{\frac{3}{2}})-2 = m[/tex]
[tex]-2 \frac{3}{4}= m[/tex]

The appropriate choice is ...
  m = -11/4
Answer Link
17emilymar247 17emilymar247
  • 02-05-2018
I agree with the other person, the answer is -11/4


Answer Link

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