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log-2-5-2-2-4-




Question Number 139744 by mathocean1 last updated on 30/Apr/21
log_2 (5^2 ×2^4 )=?
$${log}_{\mathrm{2}} \left(\mathrm{5}^{\mathrm{2}} ×\mathrm{2}^{\mathrm{4}} \right)=? \\ $$
Commented by mohammad17 last updated on 01/May/21
=log_2 (5^2 )+log_2 (2^4 )    =2log_2 (5)+4
$$={log}_{\mathrm{2}} \left(\mathrm{5}^{\mathrm{2}} \right)+{log}_{\mathrm{2}} \left(\mathrm{2}^{\mathrm{4}} \right) \\ $$$$ \\ $$$$=\mathrm{2}{log}_{\mathrm{2}} \left(\mathrm{5}\right)+\mathrm{4} \\ $$$$ \\ $$

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