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Popular >

solvefor y,x=-ln(y-2)

Solution

solve for

y, x = - ln (y - 2)

Solution

y = e^{- x} + 2

Solution steps

x = - ln (y - 2)

Move

ln (y - 2)

to the left side

x + ln (y - 2) = 0

Move

x

to the right side

ln (y - 2) = - x

Apply log rules

y - 2 = e^{- x}

Solve

y - 2 = e^{- x} : y = e^{- x} + 2

y = e^{- x} + 2

Verify Solutions:

y = e^{- x} + 2

True

The solution is

y = e^{- x} + 2

Popular Examples

ln(x+2)-ln(x-1)=1

ln (x + 2) - ln (x - 1) = 1

log_{10}(x)=4.8

lo g_{10} (x) = 4.8

86.89=20ln(x)+x

86.89 = 20 ln (x) + x

log_{10}(x)=4.5

lo g_{10} (x) = 4.5

ln(x+1)-ln(x-2)=ln(x^2)

ln (x + 1) - ln (x - 2) = ln (x^{2})

Frequently Asked Questions (FAQ)

What is the answer to solvefor y,x=-ln(y-2) ?
The answer to solvefor y,x=-ln(y-2) is y=e^{-x}+2