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

PLEASEEE HELP!!!!!! water has a Ka value of what? 1 x 10-10 1 x 10-13 1 x 10-15 1 x 10-14
The theme of this story shows up in literature all over the world—for example, in the story The Wizard of Oz. What is one way to state the theme of “The Little
You have a camera with a 16 mp resolution. how many pixels are represented by that resolution? 16 16 million 16,000 16 billion
BEST WILL RECIEVE BRAINLIEST AND RECIEVE 99PTS!!!! I am writing a REALISM STORY, It needs to be 5pgs long, I need your guys help with a prompt. and even the st
What subjects did barbizon painters prefer to paint?
Where should the breastplate on the restraint straps rest in the infant?
Kazimierz Piechowski
Instructions:drag each tile to the correct box. what is the correct order of events in this story? tiles when rachel got home, she talked to her mom about her p
What part did boston play in aunt georgiana's earlier life in a wagner matinee?
How did roosevelt's views about the role of government differ from presidents of the 1920s?