What is the answer to solvefor x,ln(y)=x+ln(x) ?

The answer to solvefor x,ln(y)=x+ln(x) is x=\W(y)

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solvefor x,ln(y)=x+ln(x)

solve for

x, ln (y) = x + ln (x)

x = W (y)

Solution steps

ln (y) = x + ln (x)

Switch sides

x + ln (x) = ln (y)

Move

x

to the right side

ln (x) = ln (y) - x

f (x) = g (x),

then

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

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

Simplify

e^{l n (x)} : x

Simplify

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

x = e^{- x} y

Solve

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

x = W (y)

Verify Solutions:

x = W (y)

True

The solution is

x = W (y)

2 lo g_{x} (3) + lo g_{x} (9) = 4

ln (x + 11) + ln (x - 4) = 2 ln (x)

ln (x^{7}) - ln (x^{3}) = 4

lo g_{10} (6 - 2 x) - lo g_{10} (x) = 2

lo g_{10} (t + 3) + lo g_{10} (t) = 1

What is the answer to solvefor x,ln(y)=x+ln(x) ?
The answer to solvefor x,ln(y)=x+ln(x) is x=\W(y)