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log-2-a-log-3-b-log-72-




Question Number 197255 by sciencestudentW last updated on 11/Sep/23
log 2=a  log 3=b  log 72=?
$$\mathrm{log}\:\mathrm{2}={a} \\ $$$$\mathrm{log}\:\mathrm{3}={b} \\ $$$$\mathrm{log}\:\mathrm{72}=? \\ $$
Answered by AST last updated on 11/Sep/23
log(9×8)=2log3+3log2=2b+3a
$${log}\left(\mathrm{9}×\mathrm{8}\right)=\mathrm{2}{log}\mathrm{3}+\mathrm{3}{log}\mathrm{2}=\mathrm{2}{b}+\mathrm{3}{a} \\ $$

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