Answer
$$ t=1, \quad t=3.$$
Work Step by Step
Since the bases are equal, then the exponents are equal. Hence, $$ t^2=4t-3\Longrightarrow t^2-4t+3=0 \Longrightarrow (t-1)(t-3)=0.$$
Then, $$ t=1, \quad t=3.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 327: 4
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