Find the missing value:

Question

1) log _____ = 1/2

Solve the equation, round to the thousandths place:
2) log8 - log(n-2) = 4log2 + log5

Answer 1

log x = 1/2
x = 10^(1/2) = √10

log8 - log(n-2) = 4log2 + log5
log (8/(n-2)) = log 2^4 + log 5
log (8/(n-2)) = log (80)
8/(n-2) = 80
80n - 160 = 8
80n = 168
n = 168/80 = 21/10 = 2.1