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Popular >

0.98=1-e^{-t/(0.1)}

Solution

0.98 = 1 - e^{- \frac{t}{0.1}}

Solution

t = - 0.1 ln (0.02)

+1

Decimal Notation

t = 0.39120 \dots

Solution steps

0.98 = 1 - e^{- \frac{t}{0.1}}

Move

e^{- \frac{t}{0.1}}

to the left side

0.98 + e^{- \frac{t}{0.1}} = 1

Move

0.98

to the right side

e^{- \frac{t}{0.1}} = 0.02

Apply exponent rules

- \frac{t}{0.1} = ln (0.02)

Solve

- \frac{t}{0.1} = ln (0.02) : t = - 0.1 ln (0.02)

t = - 0.1 ln (0.02)

Popular Examples

4^{2x}-5*4^{x+2}+1021=0

4^{2 x} - 5 \cdot 4^{x + 2} + 1021 = 0

5^{3x+2}-3*5^{6x+2}-100=0

5^{3 x + 2} - 3 \cdot 5^{6 x + 2} - 100 = 0

3*6^x=4.5(e^2)^x

3 \cdot 6^{x} = 4.5 (e^{2})^{x}

solvefor x,3^x=27 solve for

x, 3^{x} = 27

solvefor x,3^x=81 solve for

x, 3^{x} = 81

Frequently Asked Questions (FAQ)

What is the answer to 0.98=1-e^{-t/(0.1)} ?
The answer to 0.98=1-e^{-t/(0.1)} is t=-0.1ln(0.02)