Question

What is the solution to the equation 1/ square root 8 = 4^(m+3) ?

m= -15/4
m= -11/4
m= 5/4
m= 9/4

Answer 1

my answer is in the picture

Answer 2

m = -15/4

Explanation:

We have to solve the equation

`(1)/(√(8))=4^(m+3)`

`((1)/(8))^{(1)/(2)}=4^(m+3)`

`((1)/(2))^{(3)/(2)}=2^(2(m+3))`

`2^{(-(3)/(2))}=2^(2(m+3))`

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

`4(m+3)=-3`

`4m+12=-3`

`4m=-15`

`m=-(15)/(4)`

Therefore option 1 is the answer.