Solve the equation algebraically. a.)(1.045)^t=2 b.)e^x+e^(-x)=3 fo this da answer is x = In(3pm sqrt(5)/2)sim -0.96 or 0.96

tamkieuqf

tamkieuqf

Answered question

2022-08-06

Solve the equation algebraically.
a.) ( 1.045 ) t = 2
b.) e x + e x = 3 fo this da answer is x = ln ( 3 ± 5 / 2 ) -0.96 or 0.96

Answer & Explanation

Macie Melton

Macie Melton

Beginner2022-08-07Added 19 answers

a.) ( 1.045 ) t = 2
t ln ( 1.045 ) = ln ( 2 ) t = ln ( 2 ) / ln ( 1.045 ) = 15.7473
b.) e x + e x = 3 fo this da answer is x = ln ( 3 ± 5 / 2 ) -0.96 or 0.96
e x + 1 e x 3 = 0
e 2 x + 1 3 e x = 0
e 2 x 3 e x + 1 = 0
exp ( x ) = t
t 2 3 t + 1 = 0
t 1 = 3 5 2 and t 2 = 3 + 5 2
t = e x
ln ( t ) = x
x = ln ( 3 5 2 ) = 0.962424 or x = ln ( 3 + 5 2 ) = 0.962424

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