What is the answer to 19220=28.53e^{0.38t} ?

The answer to 19220=28.53e^{0.38t} is t=(ln(1922000/2853))/(0.38)

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19220=28.53e^{0.38t}

19220 = 28.53 e^{0.38 t}

t = \frac{ln ( \frac{1922000}{2853} )}{0.38}

Decimal Notation

t = 17.13881 \dots

Solution steps

19220 = 28.53 e^{0.38 t}

Switch sides

28.53 e^{0.38 t} = 19220

Multiply both sides by

100

2853 e^{0.38 t} = 1922000

Divide both sides by

2853

e^{0.38 t} = \frac{1922000}{2853}

Apply exponent rules

0.38 t = ln (\frac{1922000}{2853})

Solve

0.38 t = ln (\frac{1922000}{2853}) : t = \frac{ln ( \frac{1922000}{2853} )}{0.38}

t = \frac{ln ( \frac{1922000}{2853} )}{0.38}

9 \cdot e^{2 x} = 54

3 e^{2 x - 1} = 9

e^{5 x - 1} = 1

4^{x} = 51 2^{2}

What is the answer to 19220=28.53e^{0.38t} ?
The answer to 19220=28.53e^{0.38t} is t=(ln(1922000/2853))/(0.38)