Question

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

Answer 1

Answer:

m = -15/4

Step-by-step explanation:

We have to solve the equation

$\frac{1}{\sqrt{8}}=4^{m+3}$

$(\frac{1}{8})^{\frac{1}{2}}=4^{m+3}$

$(\frac{1}{2})^{\frac{3}{2}}=2^{2(m+3)}$

$2^{(-\frac{3}{2})}=2^{2(m+3)}$

$-\frac{3}{2}=2(m+3)$

$4(m+3)=-3$

$4m+12=-3$

$4m=-15$

$m=-\frac{15}{4}$

Therefore option 1 is the answer.

Answer 2

My answer is in the picture