What is laplacetransform 3^{(-1/10 t)} ?

The answer to laplacetransform 3^{(-1/10 t)} is (10)/(10s-10ln(3)+1)

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laplacetransform 3^{(-1/10 t)}

laplace transform

3^{(- \frac{1}{10} t)}

\frac{10}{10 s - 10 ln ( 3 ) + 1}

Solution steps

L {3^{(- \frac{1}{10} t)}}

Rewrite

3^{- \frac{1}{10} t} : e^{l n (3) - \frac{1}{10} t}

= L {e^{l n (3) - \frac{1}{10} t}}

Use Laplace Transform table:

L {e^{a t}} = \frac{1}{s - a}

L {e^{l n (3) - \frac{1}{10} t}} = \frac{1}{s - ln ( 3 ) + \frac{1}{10}}

= \frac{1}{s - ln ( 3 ) + \frac{1}{10}}

= \frac{10}{10 s - 10 ln ( 3 ) + 1}

\frac{- 5 e ^{(- 3 s)}}{( s ^{2} - 5 s + 6 )}

\int \frac{2 x ^{2} - 5}{x ^{4} - 5 x ^{2} + 6} d x

\int (2 x^{2} + 2 x - 3)^{10} (2 x + 1) d x

\frac{\partial}{\partial x} (5 x^{7} cos (y^{8}))

x \to 0 - lim (\frac{7}{x} - \frac{7}{∣ x ∣})

What is laplacetransform 3^{(-1/10 t)} ?
The answer to laplacetransform 3^{(-1/10 t)} is (10)/(10s-10ln(3)+1)