Find the value of log 28-log 14

Mathematics

ScanSolve AI Answer

Answer

log⁡2\log 2

Step-by-step solution

3 steps

  1. Apply the logarithm property log⁡a−log⁡b=log⁡ab\log a - \log b = \log \frac{a}{b}.

    log⁡28−log⁡14=log⁡(2814)\log 28 - \log 14 = \log \left( \frac{28}{14} \right)

  2. Simplify the fraction.

    2814=2\frac{28}{14} = 2

  3. Substitute back.

    log⁡(2814)=log⁡2\log \left( \frac{28}{14} \right) = \log 2

    Final answer: \log 2

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