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Question Number 117800 by Khalmohmmad last updated on 13/Oct/20

Answered by mr W last updated on 13/Oct/20

log 2=log (6/3)=log 6−log 3=a−b  log 25=log (((10)/2))^2 =2(log 10−log 2)  =2(1−a+b)

$$\mathrm{log}\:\mathrm{2}=\mathrm{log}\:\frac{\mathrm{6}}{\mathrm{3}}=\mathrm{log}\:\mathrm{6}−\mathrm{log}\:\mathrm{3}={a}−{b} \\ $$$$\mathrm{log}\:\mathrm{25}=\mathrm{log}\:\left(\frac{\mathrm{10}}{\mathrm{2}}\right)^{\mathrm{2}} =\mathrm{2}\left(\mathrm{log}\:\mathrm{10}−\mathrm{log}\:\mathrm{2}\right) \\ $$$$=\mathrm{2}\left(\mathrm{1}−{a}+{b}\right) \\ $$

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