Math  /  Algebra

QuestionSolve the equation; enter your answer rounded to four decimal places. 14e9t=8+2e9t14 e^{9 t}=8+2 e^{9 t} One solution \square No solution

Studdy Solution
Calculate the value of t t and round to four decimal places:
First, compute ln(23) \ln\left(\frac{2}{3}\right) :
ln(23)0.405465 \ln\left(\frac{2}{3}\right) \approx -0.405465
Now, divide by 9:
t0.4054659 t \approx \frac{-0.405465}{9} t0.0450517 t \approx -0.0450517
Round to four decimal places:
t0.0451 t \approx -0.0451
The solution is:
0.0451 \boxed{-0.0451}

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