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Popular >

2450=2000e^{0.1t}

Solution

2450 = 2000 e^{0.1 t}

Solution

t = \frac{ln ( \frac{49}{40} )}{0.1}

+1

Decimal Notation

t = 2.02940 \dots

Solution steps

2450 = 2000 e^{0.1 t}

Switch sides

2000 e^{0.1 t} = 2450

Divide both sides by

2000

e^{0.1 t} = \frac{49}{40}

Apply exponent rules

0.1 t = ln (\frac{49}{40})

Solve

0.1 t = ln (\frac{49}{40}) : t = \frac{ln ( \frac{49}{40} )}{0.1}

t = \frac{ln ( \frac{49}{40} )}{0.1}

Popular Examples

55 = 2 3^{x}

2^{x} + 2^{- x} = 4

(- 3^{3})^{x} = - 3

log_{2}(8^x)=-3

lo g_{2} (8^{x}) = - 3

solvefor x,3^x=243 solve for

x, 3^{x} = 243

Frequently Asked Questions (FAQ)

What is the answer to 2450=2000e^{0.1t} ?
The answer to 2450=2000e^{0.1t} is t=(ln(49/40))/(0.1)