Log50 base10+log 2 base10

Mathematics

ScanSolve AI Answer

Answer

2

Step-by-step solution

3 steps
  1. Use the logarithm property that states log(a) + log(b) = log(a × b).

    log₁₀(50) + log₁₀(2) = log₁₀(50 × 2)

  2. Perform the multiplication inside the logarithm.

    log₁₀(50 × 2) = log₁₀(100)

  3. Evaluate the logarithm.

    Since 10² = 100, the base-10 logarithm of 100 is 2.
    log₁₀(100) = 2

    The final answer is 2.

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