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Math

Math Snap

PROBLEM

Which expression shows a product of 63 ?
1×631 \times 63
2×ln312 \times \ln 31

STEP 1

1. We are looking for an expression that results in the product of 63 63 .
2. We have two expressions to evaluate: 1×63 1 \times 63 and 2×ln31 2 \times \ln 31 .

STEP 2

1. Evaluate the first expression.
2. Evaluate the second expression.
3. Compare the results to determine which expression shows a product of 63 63 .

STEP 3

Evaluate the first expression:
1×63=63 1 \times 63 = 63

STEP 4

Evaluate the second expression:
First, calculate ln31 \ln 31 . Since this is a natural logarithm, it is not a straightforward integer calculation, but we know that:
ln313.43399 \ln 31 \approx 3.43399 Now, calculate:
2×ln312×3.43399=6.86798 2 \times \ln 31 \approx 2 \times 3.43399 = 6.86798

SOLUTION

Compare the results:
- The first expression 1×63 1 \times 63 results in 63 63 .
- The second expression 2×ln31 2 \times \ln 31 results in approximately 6.86798 6.86798 .
The expression that shows a product of 63 63 is:
1×63 1 \times 63 The correct expression is:
1×63\boxed{1 \times 63}

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