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

Otras preguntas

If your expression contains square roots, during which step of pemdas do you solve them?
Which agent of erosion most likely formed the drumlins and finger lakes in New York State?
What are the coordinates of the point where the line y = -\frac{2}{5}x + 12 intersects the x -axis? Select one: a. (-30,0) b. (0,30) c. (30,0) d. (0,-
under what conditions would a climate be classified as arid
If the mass of one of two objects is increased, the force of attraction between them will 1- decrease 2- increase 3- remain the same
84 is 21% of what number
What is the momentum of a 1.10 ✕ 104 kg garbage truck moving at 25.0 m/s?
Which sentence from An Inconvenient Truth would be best supported by the graph? A. “In the pre-industrial world, just the right amount of the sun’s energy was
A therapist who emphasizes helping clients to identify
What are the two basic functional units of the nervous system?