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Verified Answer :

\(\ln(t-1)^2=3\)
\(2\ln(t-1)=3\)
\(\ln(t-1)=\dfrac32\)
\(e^{\ln(t-1)}=e^{3/2}\)
\(t-1=e^{3/2}\)
\(t=1+e^{3/2}\)