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Popular >

5000=2750e^{(0.08t)}

Solution

5000 = 2750 e^{(0.08 t)}

Solution

t = \frac{ln ( \frac{20}{11} )}{0.08}

+1

Decimal Notation

t = 7.47296 \dots

Solution steps

5000 = 2750 e^{(0.08 t)}

Switch sides

2750 e^{0.08 t} = 5000

Divide both sides by

2750

e^{0.08 t} = \frac{20}{11}

Apply exponent rules

0.08 t = ln (\frac{20}{11})

Solve

0.08 t = ln (\frac{20}{11}) : t = \frac{ln ( \frac{20}{11} )}{0.08}

t = \frac{ln ( \frac{20}{11} )}{0.08}

Popular Examples

9^{x+2}=3^{x+1}

9^{x + 2} = 3^{x + 1}

(2/3)^x\times (9/8)^x= 27/64

(\frac{2}{3})^{x} \times (\frac{9}{8})^{x} = \frac{27}{64}

3^{2x}+2*3^{(x+1)}=16

3^{2 x} + 2 \cdot 3^{(x + 1)} = 16

solvefor n,y^n+4y=0 solve for

n, y^{n} + 4 y = 0

e^{12-5x}-7=123

e^{12 - 5 x} - 7 = 123

Frequently Asked Questions (FAQ)

What is the answer to 5000=2750e^{(0.08t)} ?
The answer to 5000=2750e^{(0.08t)} is t=(ln(20/11))/(0.08)