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ChatGPT: To solve for \( m \) in the equation \( 3^m + 3^m = 60 \), follow these steps: 1. Notice that \( 3^m + 3^m \) can be factored as \( 2 \times 3^m \). So, the equation becomes: \[ 2 \times 3^m = 60 \] 2. Divide both sides by 2 to isolate \( 3^m \): \[ 3^m = \frac{60}{2} = 30 \] 3. Now, take the logarithm of both sides to solve for \( m \): \[ m \times \log(3) = \log(30) \] 4. Solve for \( m \): \[ m = \frac{\log(30)}{\log(3)} \] 5. Using a calculator: \[ m \approx \frac{1.4771}{0.4771} \approx 3.1 \] So, the solution for \( m \) is approximately 3.1.
