Question

Решите пожалуйста логорифмы пожалуйста умоляю ​

Answer 1

Ответ:

Объяснение:

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Answer 2

Ответ:

261. log36(216)=log6^2(6^3)=3/2=1.5

263. 9×7^log7(8)=9×8=72

265. 7^log49(36)=7^log7^2(36)=7^1/2log7(36)=7^log7(36^1/2)=36^1/2=(6^2)^1/2=6

267. 16^3log16^5=16log16(5^3)=5^3=125

269. 16^log7(98)/16^log7(2)=16^2=256

271. log4(2.56)+log4(100)=log4(2.56×100)=log4(256)=log4(4^4)=4

273. log0.7(100)-log0.7(49)=log0.7(100/49)=log7/10((7/10)^-2)= -2log7/10(7/10)= -2×1= -2

275. log17(8)/log17(2)=log17(2^3)/log17(2)=3log17(2)/log17(2)=3

277.

$54log19 (\sqrt[3]{19})$

54log19(19^1/3)=54×1/3=18

279. (log3(81))(log5(125))= log3(3^4)log5(5^3)=4×3=12

281. log1.25(7)log7(0.8)=log1.25(7)×log1.25(0.8)/log1.25(7)=log1.25(0.8)=log5/4(4/5)=log5/4((5/4)-1)=-1