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Popular >

15=17e^{-(0.116)t}

Solution

15 = 17 e^{- (0.116) t}

Solution

t = - \frac{ln ( \frac{15}{17} )}{0.116}

+1

Decimal Notation

t = 1.07899 \dots

Solution steps

15 = 17 e^{- (0.116) t}

Switch sides

17 e^{- 0.116 t} = 15

Divide both sides by

17

e^{- 0.116 t} = \frac{15}{17}

Apply exponent rules

- 0.116 t = ln (\frac{15}{17})

Solve

- 0.116 t = ln (\frac{15}{17}) : t = - \frac{ln ( \frac{15}{17} )}{0.116}

t = - \frac{ln ( \frac{15}{17} )}{0.116}

Popular Examples

2^{x+1}+2^{x-2}= 9/2

2^{x + 1} + 2^{x - 2} = \frac{9}{2}

2^{x+3}-2^x=112

2^{x + 3} - 2^{x} = 112

x\times 2^{x-1}=32

x \times 2^{x - 1} = 32

3^{x+1}+3^x+3^{x+1}=39

3^{x + 1} + 3^{x} + 3^{x + 1} = 39

3^{\frac{x}{3}} = 99

Frequently Asked Questions (FAQ)

What is the answer to 15=17e^{-(0.116)t} ?
The answer to 15=17e^{-(0.116)t} is t=-(ln(15/17))/(0.116)