# \ #
# \mbox{We can proceed as follows:} #
# \qquad \qquad e^{ -(ln2) t } \ = \ 1/2 #
# \qquad \qquad [ e^(ln2) ]^{ - t } \ = \ 1/2 \qquad \qquad \qquad \qquad \mbox{multiplication rule for exponents} #
# \qquad \qquad \qquad \ \ [ 2 ]^{ - t } \ = \ 1/2 \qquad \qquad \qquad \ \ \ e^x \quad \mbox{and} \quad ln(x) \ \ \mbox{are inverses} #
# \qquad \qquad \qquad \qquad 2^{ - t } \ = \ 1/2 #
# \qquad \qquad \qquad \qquad 2^{ - t } \ = \ 2^{-1} #
# \qquad :. \qquad \quad - t \ = \ -1 #
# \qquad :. \qquad \qquad \quad \ t \ = \ 1. #
# \ #
# \mbox{So the solution is:} #
# \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad t \ = \ 1. #