What is the answer to solvefor x,ln(xy^3)=xy ?

The answer to solvefor x,ln(xy^3)=xy is x=-(\W(-1/(y^2)))/y

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solvefor x,ln(xy^3)=xy

solve for

x, ln (x y^{3}) = x y

x = - \frac{W ( - \frac{1}{y ^{2}} )}{y}

Solution steps

ln (x y^{3}) = x y

f (x) = g (x),

then

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

e^{l n (x y^{3})} = e^{x y}

Simplify

e^{l n (x y^{3})} : x y^{3}

x y^{3} = e^{x y}

Solve

x y^{3} = e^{x y} : x = - \frac{W ( - \frac{1}{y ^{2}} )}{y}

x = - \frac{W ( - \frac{1}{y ^{2}} )}{y}

Verify Solutions:

x = - \frac{W ( - \frac{1}{y ^{2}} )}{y}

True

The solution is

x = - \frac{W ( - \frac{1}{y ^{2}} )}{y}

ln (x) - ln (4) = 7

lo g_{10} (x) = \frac{5}{6}

lo g_{\frac{2}{3}} (x) = - 3

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

m, lo g (m) = 6 lo g (n)

What is the answer to solvefor x,ln(xy^3)=xy ?
The answer to solvefor x,ln(xy^3)=xy is x=-(\W(-1/(y^2)))/y