What is the answer to solvefor x,e^{-0.78x}=0.03 ?

The answer to solvefor x,e^{-0.78x}=0.03 is x=-(ln(0.03))/(0.78)

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solvefor x,e^{-0.78x}=0.03

solve for

x, e^{- 0.78 x} = 0.03

x = - \frac{ln ( 0.03 )}{0.78}

Decimal Notation

x = 4.49558 \dots

Solution steps

e^{- 0.78 x} = 0.03

Apply exponent rules

- 0.78 x = ln (0.03)

Solve

- 0.78 x = ln (0.03) : x = - \frac{ln ( 0.03 )}{0.78}

x = - \frac{ln ( 0.03 )}{0.78}

5^{x + 5} = 125

0. 1^{x} = 100

e^{4 x} = 15

e^{4 x} = 22

e^{4 x} = - 3

What is the answer to solvefor x,e^{-0.78x}=0.03 ?
The answer to solvefor x,e^{-0.78x}=0.03 is x=-(ln(0.03))/(0.78)