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Question-192514




Question Number 192514 by Tomal last updated on 19/May/23
Commented by Skabetix last updated on 19/May/23
((2log_2 (7))/3)
$$\frac{\mathrm{2}{log}_{\mathrm{2}} \left(\mathrm{7}\right)}{\mathrm{3}} \\ $$
Commented by Tomal last updated on 20/May/23
yes right
$${yes}\:{right} \\ $$
Answered by Frix last updated on 20/May/23
p^q =r ⇒ q=((ln r)/(ln p))  a×b×c×d×e×f=((ln 4)/(ln 3))×((ln 5)/(ln 4))×...×((ln 9)/(ln 8))=  =((ln 9)/(ln 3))=((2ln 3)/(ln 3))=2
$${p}^{\mathrm{q}} =\mathrm{r}\:\Rightarrow\:{q}=\frac{\mathrm{ln}\:{r}}{\mathrm{ln}\:{p}} \\ $$$${a}×{b}×{c}×{d}×{e}×{f}=\frac{\mathrm{ln}\:\mathrm{4}}{\mathrm{ln}\:\mathrm{3}}×\frac{\mathrm{ln}\:\mathrm{5}}{\mathrm{ln}\:\mathrm{4}}×…×\frac{\mathrm{ln}\:\mathrm{9}}{\mathrm{ln}\:\mathrm{8}}= \\ $$$$=\frac{\mathrm{ln}\:\mathrm{9}}{\mathrm{ln}\:\mathrm{3}}=\frac{\mathrm{2ln}\:\mathrm{3}}{\mathrm{ln}\:\mathrm{3}}=\mathrm{2} \\ $$
Commented by Skabetix last updated on 19/May/23
there is no “e“ in the question sir
$${there}\:{is}\:{no}\:“{e}“\:{in}\:{the}\:{question}\:{sir} \\ $$
Commented by Frix last updated on 19/May/23
I think it′s a typo but else you′re right.
$$\mathrm{I}\:\mathrm{think}\:\mathrm{it}'\mathrm{s}\:\mathrm{a}\:\mathrm{typo}\:\mathrm{but}\:\mathrm{else}\:\mathrm{you}'\mathrm{re}\:\mathrm{right}. \\ $$
Commented by Tomal last updated on 20/May/23
yes
$${yes} \\ $$

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