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Popular >

30=80e^{(-x)(1)}

Solution

30 = 80 e^{(- x) (1)}

Solution

x = - ln (\frac{3}{8})

+1

Decimal Notation

x = 0.98082 \dots

Solution steps

30 = 80 e^{(- x) (1)}

Switch sides

80 e^{(- x) 1} = 30

Divide both sides by

80

e^{(- x) 1} = \frac{3}{8}

Apply exponent rules

(- x) \cdot 1 = ln (\frac{3}{8})

Solve

(- x) \cdot 1 = ln (\frac{3}{8}) : x = - ln (\frac{3}{8})

x = - ln (\frac{3}{8})

Popular Examples

3^{n + 1} = 2^{n}

[(- \frac{2}{3})^{2}]^{x} = 1

(3^{5m})/(3^{3m)}=3^{2m}

\frac{3 ^{5 m}}{3 ^{3 m}} = 3^{2 m}

10^{14}=(10^{-9})(10^x)

1 0^{14} = (1 0^{- 9}) (1 0^{x})

77 = 1 5^{x}

Frequently Asked Questions (FAQ)

What is the answer to 30=80e^{(-x)(1)} ?
The answer to 30=80e^{(-x)(1)} is x=-ln(3/8)