What is the answer to solvefor x=3log_{10}(y^2),y ?

The answer to solvefor x=3log_{10}(y^2),y is y=sqrt(10^{x/3)},y=-sqrt(10^{x/3)}

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solvefor x=3log_{10}(y^2),y

solve for

x = 3 lo g_{10} (y^{2}), y

y = 1 0^{\frac{x}{3}}, y = - 1 0^{\frac{x}{3}}

Solution steps

x = 3 lo g_{10} (y^{2})

Switch sides

3 lo g_{10} (y^{2}) = x

Divide both sides by

3

lo g_{10} (y^{2}) = \frac{x}{3}

Apply log rules

y^{2} = 1 0^{\frac{x}{3}}

Solve

y^{2} = 1 0^{\frac{x}{3}} : y = 1 0^{\frac{x}{3}}, y = - 1 0^{\frac{x}{3}}

y = 1 0^{\frac{x}{3}}, y = - 1 0^{\frac{x}{3}}

Verify Solutions:

y = 1 0^{\frac{x}{3}}

True

, y = - 1 0^{\frac{x}{3}}

True

The solutions are

y = 1 0^{\frac{x}{3}}, y = - 1 0^{\frac{x}{3}}

x, y = ln (x y)

lo g_{4} (x - 6) + lo g_{4} (x - 6) = 1

lo g_{x} (0.125) = - 3

lo g_{10} (5) + lo g_{10} (4 x + 1) = 0

ln (7 x) - 6 ln (x^{2}) = ln (2)

What is the answer to solvefor x=3log_{10}(y^2),y ?
The answer to solvefor x=3log_{10}(y^2),y is y=sqrt(10^{x/3)},y=-sqrt(10^{x/3)}