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Simplify: $$\Large log_{a}10-log_{a} \left(\frac{10}{a}\right)$$

 A) 0 B) 1 C) 100 D) -1

 B) 1

$$\Large log_{a}10-log_{a} \left(\frac{10}{a}\right)=log_{a}10-\left[ log_{a}10-log_{a}a \right]$$

=$$\Large log_{a}10-log_{a}10+log_{a}a$$

=0+1=1

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

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