Answer:
a = -8 + sqrt(10)/ 10
Explanation:
-4log(a+8)=2
Divide each side by -4
-4/-4log(a+8)=2/-4
log (a+8) = -1/2
Raise each side to the power of 10
10 ^ log(a+8)= 10^-1/2
a+8 = 1/ sqrt(10)
Subtract 8 from each side
a +8-8 = -8 + 1 /sqrt(10)
a = -8 + 1/sqrt(10)
We do not like sqrt's in the denominator
a = -8 + sqrt(10)/ 10