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Find the value of $$\Large log_{10}8100$$

 A) $$\Large 2+2log_{10}9$$ B) $$\Large 2log_{10}9$$ C) $$\Large 2+log_{10}9$$ D) $$\Large 2 \left(1+3log_{10}9\right)$$

 A) $$\Large 2+2log_{10}9$$

$$\Large log_{10}8100=log_{10}81+log_{10}100$$

=$$\Large log_{10}9^{2}+log_{10}10^{2}$$

=$$\Large 2log_{10}9+2log_{10}10$$

=$$\Large 2log_{10}9+2$$

=$$\Large 2+2log_{10}9$$

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

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