Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. \( \log 125+\log 8 \) \( \log 125+\log 8=\square \) (Simplify your answer.)

We start with the expression: \[ \log 125 + \log 8 \] **Step 1. Apply the Product Rule** The product rule for logarithms states that: \[ \log a + \log b = \log (ab) \] Thus, \[ \log 125 + \log 8 = \log (125 \times 8) \] **Step 2. Multiply the Arguments** Calculate: \[ 125 \times 8 = 1000 \] So, the expression becomes: \[ \log (125 \times 8) = \log 1000 \] **Step 3. Evaluate the Logarithm (if possible)** If the logarithm is assumed to be base \(10\), then: \[ \log 1000 = 3 \quad \text{since} \quad 10^3 = 1000. \] Thus, the final condensed expression is: \[ \log 125 + \log 8 = \log 1000 = 3 \]