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Question Number 197254 by sciencestudentW last updated on 11/Sep/23
(((log_2 20)^2  −(log_2 5)^2  )/(log_2 10 ))=?
$$\frac{\left(\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}20}\right)^{\mathrm{2}} \:−\left(\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}5}\right)^{\mathrm{2}} \:}{\mathrm{lo}\underset{\mathrm{2}} {\mathrm{g}10}\:}=? \\ $$
Answered by AST last updated on 11/Sep/23
=(((log_2 4)(log_2 100))/(log_2 10))=4
$$=\frac{\left({log}_{\mathrm{2}} \mathrm{4}\right)\left({log}_{\mathrm{2}} \mathrm{100}\right)}{{log}_{\mathrm{2}} \mathrm{10}}=\mathrm{4} \\ $$

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