Answer:
m = -15/4
Step-by-step explanation:
We have to solve the equation
[tex]\frac{1}{\sqrt{8}}=4^{m+3}[/tex]
[tex](\frac{1}{8})^{\frac{1}{2}}=4^{m+3}[/tex]
[tex](\frac{1}{2})^{\frac{3}{2}}=2^{2(m+3)}[/tex]
[tex]2^{(-\frac{3}{2})}=2^{2(m+3)}[/tex]
[tex]-\frac{3}{2}=2(m+3)[/tex]
[tex]4(m+3)=-3[/tex]
[tex]4m+12=-3[/tex]
[tex]4m=-15[/tex]
[tex]m=-\frac{15}{4}[/tex]
Therefore option 1 is the answer.
