Объяснение:
(a +3b) /7 (3b-a) - 3a
при a=-3,b=-1/6
-3+3*(-1/6)=-3-1/2=- 3 1/2
7(3*(-1/6)+3)=17,5
17,5-3*(-3)=26,5=26 1/2
-3 1/2:26 1/2=-7/2:53/2=-7/53
Если ㏒_b (a) =1/3, то ㏒ₐ b = 3
㏒ₐ(a¹²b¹³)= ㏒ₐa¹²+㏒ₐ b¹³ = 12㏒ₐ a + 13㏒ₐ b= 12*1+13 *3=12+39 = 51
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если ㏒ₐ √b = ㏒ₐ b ¹/₂= 1/2*㏒ₐ b ; 1/2 ㏒ₐ b =6/10 ,то 1/2㏒_b (a) = 1/2*10/6
㏒_b(a⁶*b⁹⁹)=㏒_b (a⁶) + ㏒_b(b⁹⁹) = 6*㏒_b (a) + 99*1 = 6*(1/2)*(10/6) +99 =
=5+99=104
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если ㏒_b(a¹/₆)=1/6*㏒_b(a)=7.то ㏒_b(a)=7:1/6 =42
㏒_b(⁴√a* ⁵√b) = ㏒_b(⁴√a) + ㏒_b(⁵√b) = ㏒_b(a¹/⁴)+㏒_b(b¹/₅) =
= 1/4㏒_b(a )+ 1/5 ㏒_b(b ) =1/4 *42+1/5= 10.5+0.2=10 .7
F(x)=e^x-ctgx+C
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