Question

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

Answer 1

I agree with the other person, the answer is -11/4

Answer 2

Take the log (base 4) of both sides of the equation.

`\log_(4)((1)/(√(8))) = m + 2`

`(-1)/(2) \log_(4)(4^{(3)/(2)})-2 = m`

`-2 (3)/(4)= m`

The appropriate choice is ...
m = -11/4