log5(3)+log5(1/3)=? 如何計算

log5(3)+log5(1/3)=? 如何計算


log5(3)+log5(1/3)=log5(3*1/3)=log5(1)=0



log5(1/3)x log36 x log6a=2,求a


log5(1/3)x log36 x log6a=2用換底公式,得[lg(1/3)/lg5]x[lg6/lg3] x [lga/lg6]=2 lg6約去,[-lg3/lg5]x[lga/lg3]=2 lg3約去,lga/lg5=-2 log5a=-2 a=1/25



log5(125)=3
5的3次方=125
這個3怎麼算啊?.


log5(5)+log5(5)+log5(5)=log5(5*5*5)=log5(125)



已知log(5)35=m,用m表示log(7)1.4


log(5)35=m
lg35/lg5=m
(lg5+lg7)=mlg5
lg7=(m-1)lg5
log(7)1.4=lg1.4/lg7=(lg(7/5))/lg7
=(lg7-lg5)/lg7
=1-lg5/lg7
=1-1/(m-1)
=(m-2)/(m-1)



對數函數2log5(15)-log5(18)+log5(7)


log5(225*7/18)=log5(175/2)



log5^4與2log5^3誰大?怎麼比較?


解2log5∧3=log5∧3²;=log5∧9
因為底數相同且大於1而y=log5∧x是增函數
9>4所以log5∧9>log5∧4
即log5∧4<2log5∧3



化簡(a+1)(a-2)/(a+2)(a-2)+3


=(a+1)(a-2)/(a²;-4+3)
=(a+1)(a-2)/(a²;-1)
=(a+1)(a-2)/(a+1)(a-1)
=(a-2)/(a-1)



化簡(a^3+1/a^3)(a^3-1/a^3)÷[(a^4+1/a^4+1)(a-1/a)]


(a^3+1/a^3)(a^3-1/a^3)/[(a^4+1/a^4+1)(a-1/a)]
=(a^6-1/a^6)/[(a^4+1/a^4+1)(a-1/a)]
=[(a^2)^3-1/(a^2)^3]/[(a^4+1/a^4+1)(a-1/a)]
=[(a^2-1/a^2)*(a^4+1/a^4+1)]/[(a^4+1/a^4+1)(a-1/a)]
=(a^2-1/a^2)/(a-1/a)
=a+1/a



當3<a<4時,化簡|a-3|+|a-4|=______.


∵3<a<4∴|a-3|=a-3,|a-4|=4-a、∴原式=|a-3|+|a-4|=a-3+(4-a)=1.故答案為:1.



化簡;(a+b)^2-2分之3(a+b)-4分之1(a+b)^2+(-2)^3(a+b)


原式=[(a+b)^2-4分之1(a+b)^2]+[-2分之3(a+b)+(-2)^3(a+b)]
=4分之3(a+b)^2-2分之19(a+b)