Solved on Mar 02, 2024
Find the real number such that . The solution is .
STEP 1
Assumptions
1. We are solving for in the equation .
2. is a real number.
STEP 2
To solve for , we need to eliminate the cube root. We can do this by raising both sides of the equation to the power of 3, which is the reciprocal of .
STEP 3
Simplify the left-hand side of the equation using the property of exponents that states .
STEP 4
Simplify the right-hand side of the equation by calculating .
STEP 5
Now we have the value of .
There is only one real solution to the equation.
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