Question

Maria wrote the equation log (StartFraction x Over 2 EndFraction) + log (StartFraction 20 Over x squared EndFraction) = log 8 What is the solution to Maria’s equation?
x = three-tenths
x = four-fifths
x = five-fourths
x = ten-thirds

Answer 1

Use log rules: log(a)+log(b)=log(ab), so

log((x/2)(20/x^2)) = log 8
=> log(10/x) = log 8
=> 10/x = 8
=> x = 10/8 = 5/4.

Thus x = five-fourths.