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Popular >

solvefor y,y=ln(xy)

Solution

solve for

y, y = ln (x y)

Solution

y = - W (- \frac{1}{x})

Solution steps

y = ln (x y)

If

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{y} = e^{l n (x y)}

Simplify

e^{l n (x y)} : y x

e^{y} = y x

Solve

e^{y} = y x : y = - W (- \frac{1}{x})

y = - W (- \frac{1}{x})

Verify Solutions:

y = - W (- \frac{1}{x})

True

The solution is

y = - W (- \frac{1}{x})

Graph

Popular Examples

log_{2x}(x^2+9x-6)=2

lo g_{2 x} (x^{2} + 9 x - 6) = 2

log_{0.2}(2x-3)=-1

lo g_{0.2} (2 x - 3) = - 1

ln (x) = \frac{x}{2}

0.1x=ln(1+0.15x)

0.1 x = ln (1 + 0.15 x)

log_{5}((2x)/(x-1))=1

lo g_{5} (\frac{2 x}{x - 1}) = 1

Frequently Asked Questions (FAQ)

What is the answer to solvefor y,y=ln(xy) ?
The answer to solvefor y,y=ln(xy) is y=-\W(-1/x)