Math  /  Algebra

QuestionEvaluate without a calculator: (7 marks) a) log214\log _{2} \frac{1}{4} b) log13+(log27log9)\log \frac{1}{3}+(\log 27-\log 9) c) log1200log3log4\log 1200-\log 3-\log 4

Studdy Solution
Since log10=1 \log 10 = 1 , simplify the expression:
2log10=2×1=2 2 \log 10 = 2 \times 1 = 2
The value of log1200log3log4 \log 1200 - \log 3 - \log 4 is 2 2 .
The solutions are: a) 2 -2 b) 0 0 c) 2 2

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