Find the value of log 28-log 14

Mathematics

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Answer

log⁡2\log 2

Step 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)

Step 2: Simplify the fraction.

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

Step 3: Substitute back.

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

Final answer: \log 2

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