Exponential Equations With Powers of X
The Organic Chemistry Tutor・2 minutes read
The math problem involves finding the value of X in the equation X^X^3 = 729 by recognizing that 729 is equal to 9^3, simplifying the expression to determine that X is the cube root of 9. To confirm the solution, plug the value of X back into the original equation to verify that X^X^3 equals 729 accurately.
Insights
- The math problem involves finding the cube root of 9, which is the value of X in the equation X raised to the X cubed equals 729, achieved through simplification and careful calculation.
- Verifying the solution by plugging the calculated value of X back into the original equation is crucial to ensure accuracy and validate that X raised to the X cubed does indeed equal 729.
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Recent questions
How do you solve X to the X cubed equals 729?
By cubing both sides and simplifying.
What is the value of X in X to the X cubed equals 729?
The cube root of 9.
How can you verify the solution to X to the X cubed equals 729?
By plugging the value of X back in.
What is the first step in solving X to the X cubed equals 729?
Cubing both sides of the equation.
How does recognizing 729 as 9 to the third power help in solving X to the X cubed equals 729?
It simplifies the expression for calculation.
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Summary
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Solving X Cubed Equation for X Value
- The math problem involves finding the value of X in the equation X raised to the X cubed equals 729. To solve this, the first step is to cube both sides of the equation to simplify the expression.
- By rewriting the expression as X to the third raised to the X cubed, it becomes easier to solve by recognizing that 729 is equal to 9 to the third power. This allows for simplification and calculation of X, which is found to be the cube root of 9.
- To confirm the solution, plug the value of X back into the original equation and calculate to ensure that X raised to the X cubed equals 729, verifying the accuracy of the solution.
