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Solve the equation 4×333=4x24\times3^{33}=4x^2

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Full solution

Q. Solve the equation 4×333=4x24\times3^{33}=4x^2
  1. Identify base and exponent: Identify the base and the exponent in the given equation. 4×333=4x24\times3^{33}=4x^2 can be simplified by dividing both sides by 44.
  2. Divide by 44: Divide both sides by 44 to simplify the equation.\newline333=x23^{33} = x^2
  3. Take square root: Take the square root of both sides to solve for xx.333=x2\sqrt{3^{33}}=\sqrt{x^2}
  4. Simplify square root: Simplify the square root of x2x^2 and the exponent.\newlinex=3332x=3^{\frac{33}{2}}

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