Question 328842
{{{(1/81)^t = 243^t-2}}}
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{{{1/81=1/3^4=3^(-4)}}}
{{{243=81*3=3^5}}}
Substituting,
{{{(3^(-4))t=(3^5)^(t-2)}}}
{{{3^(-4t)=3^(5(t-2))}}}
{{{-4t=5t-10}}}
{{{-9t=-10}}}
{{{t=10/9}}}
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b) is the correct answer.