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

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

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

solve for

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

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, M (x) = 4 x^{2} - 12 x + 8

25 x^{2} + 110 x + 121 = 0

3 (x - 3)^{2} = 27

(2 x - 1)^{2} - 5 (2 x - 1) - 6 = 0

(2 x + 1)^{2} + (2 x + 3)^{2} = 290

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