What is the answer to solvefor x,-e^{-x+4}+1=0.9 ?

The answer to solvefor x,-e^{-x+4}+1=0.9 is x=-ln(0.1)+4

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solvefor x,-e^{-x+4}+1=0.9

solve for

x, - e^{- x + 4} + 1 = 0.9

x = - ln (0.1) + 4

Decimal Notation

x = 6.30258 \dots

Solution steps

- e^{- x + 4} + 1 = 0.9

Move

1

to the right side

- e^{- x + 4} = - 0.1

Divide both sides by

- 1

e^{- x + 4} = 0.1

Apply exponent rules

- x + 4 = ln (0.1)

Solve

- x + 4 = ln (0.1) : x = - ln (0.1) + 4

x = - ln (0.1) + 4

8 1^{x - 1} = 3^{x^{2}}

e^{x} = 5 - 2 x

e^{2 x + 2} + 4 (e^{x + 2} - 1) = e^{x}

3600 = (0.78)^{x} 14500

3^{x} - 6^{3 x + 1} = 0

What is the answer to solvefor x,-e^{-x+4}+1=0.9 ?
The answer to solvefor x,-e^{-x+4}+1=0.9 is x=-ln(0.1)+4