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# Simplify: $$\Large log_{10} \left(\frac{55}{46}\right)-log_{10} \left(\frac{65}{69}\right)+log_{10} \left(\frac{26}{33}\right)$$

 A) 0 B) 2 C) 4 D) 13

 A) 0

$$\Large log \left(\frac{5 \times 11}{2 \times 23}\right)-log_{10} \left(\frac{5 \times 13}{3 \times 23}\right)+log_{10} \left(\frac{2 \times 13}{3 \times 11}\right)$$

=$$\Large log\frac{5 \times 11}{2 \times 23} \times \frac{23 \times 3}{5 \times 13} \times \frac{2 \times 13}{3 \times 11}$$

=$$\Large log1 = 0$$

Part of solved Logarithms questions and answers : >> Elementary Mathematics >> Logarithms

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