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Popular >

solvefor y,x=-ln(1-y)

Solution

solve for

y, x = - ln (1 - y)

Solution

y = - e^{- x} + 1

Solution steps

x = - ln (1 - y)

Move

ln (1 - y)

to the left side

x + ln (1 - y) = 0

Move

x

to the right side

ln (1 - y) = - x

Apply log rules

1 - y = e^{- x}

Solve

1 - y = e^{- x} : y = - e^{- x} + 1

y = - e^{- x} + 1

Verify Solutions:

y = - e^{- x} + 1

True

The solution is

y = - e^{- x} + 1

Graph

Popular Examples

log_{2}(3x+3)=4

lo g_{2} (3 x + 3) = 4

lo g_{2} (x - 3) = 1

5 ln (x) - 1 = 2

solvefor y,e^x=ln((x-y)/(xy))solve for

y, e^{x} = ln (\frac{x - y}{x y})

log_{10}(x^2)=0

lo g_{10} (x^{2}) = 0

Frequently Asked Questions (FAQ)

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