write ln X - ln 100 = -.37t in exponential form that is free of logarithms?

Question

i think that it is x=100^-.37t but would like to know if my work is right plz

Answer 1

ln(x) - ln(100) = - 0.37t

ln(x /100) = - 0.37t

take exponetial on each side

exp (ln(x /100)) = exp ( - 0.37t )

remember that

exp (ln(A)) = A

so

x/ 100 = exp ( - 0.37t )
and
x = 100 * exp ( - 0.37t )

Answer 2

x/100 = e^-.37t