Question

What is the solution to the equation1 over the square root of 8 = 4(m + 3)? (1 point)

m = − 15 over 4
m = − 11 over 4
m = 5 over 4
m = 9 over 4

Answer 1

• A) m = − 15 over 4

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The equation should read:

• 
  `1/√(8)=4^(m+3)`

Solve it in below steps:

• 
  `1/√(2^3)=(2^2)^(m+3)`
• 
  `1/2^(3/2)=2^(2(m+3))`
• 
  `2^(-3/2)=2^(2m+6)`
• 
  `-3/2=2m+6`
• 
  `-3=4m+12`
• 
  `4m=-15`
• 
  `m=-15/4`

Correct choice is A.