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For each of these statement, indicate wh...

For each of these statement, indicate whether the statement is TRUE or FALSE
If `x^5 = 32`, then `x = 2`

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To determine whether the statement "If \( x^5 = 32 \), then \( x = 2 \)" is TRUE or FALSE, we can follow these steps: ### Step 1: Understand the equation We start with the equation: \[ x^5 = 32 \] ### Step 2: Rewrite 32 as a power of 2 We know that: \[ 32 = 2^5 \] ### Step 3: Set the equations equal Now we can rewrite the equation: \[ x^5 = 2^5 \] ### Step 4: Apply the property of exponents Since both sides of the equation have the same exponent (5), we can equate the bases: \[ x = 2 \] ### Step 5: Conclusion Thus, we conclude that the statement is TRUE. If \( x^5 = 32 \), then indeed \( x = 2 \).
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