log3√2称log49 81

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log3√2称log49 81
高一对数函数题已知a=log3(2),那么log3( 8)-2log3( 6)用a表示是?

根据对数函数的性质log(a)(M^n)=nlog(a)(M),log(a)(MN)=log(a)(M)+log(a)(N);所以,log3(8)-2log3(6)=log3(2的3次方)-2×(lo

(log3 4+log3 8)(log2 3+log2 9)+(log3 根号2)(log9 7)/(log1/3 7)

(log34+log38)(log23+log29)+(log3根号2)(log97)/[(log1/37)(log三次根号48)]=(5lg32)(3lg32)+[9(lg23)(lg37)/4]/

已知log2(3)=a[3为真数在上面],log3(7)[7为真数在上面],求log3√7^(2√21)的值.

log₂3=a,==>log₃2=1/alog₃7=b用换底公式:log3√7^(2√21)=log₃(2√21)/log₃(3√7)=[l

log 243÷log9 =log3^5÷log3^2 =log3^5-log3^2 然后怎么写

log243÷log9=log3^5÷log3^2=5log3÷(2log3)=5/2=2.5

(log4(3)+log8(3))*(log3(2)+log8(2))-log1/2(^4√32)=?

=(log(2,3)/2+log(2,3)/3)*(log(3,2)+1/3-?)log(a,b)=ln(b)/ln(a)

log3 5-log3 15+1/2log9 27 的值

log35-log315+1/2log927=log35-log315+1/2(lg27/lg9)=log3(5÷15)+1/2(3lg3/2g3)=log3(1/3)+1/2*3/2=log33^(

log3(2),log3(2^x-1),log3(2^x+11)成等差数列,则x的值为

等差2log3(2^x-1)=log3(2)+log3(2^x+11)log3(2^x-1)²=log3[2(2^x+11)]所以(2^x-1)²=2(2^x+11)令a=2^x>

设a=log3π,b=log3根号3,c=log3根号2比较abc

点击图片就可以看清楚了,加油!

log2(3)+log3(5)+log3(2)=?

log2(3)+log3(5)+log3(2)=log2(3)+log3(10)=4.2429387700296再问:=1g3/1g2+(lg5+lg2)lg3这个式子最后那个lg3原来是分母,,怎么

a=log3²,那么log3八次方-2log3六次方用a表示是?

log3八次方-2log3六次方=4log3²-2×3log3²=-2log3²=-2a

log的一道数学题log3 1/64×log4 √5×log1/25 27 √5是根号下5 ×是乘号=log3 2^(-

log31/64×log4√5×log1/2527=log32^(-6)×log2^25^(1/2)×log5^(-2)3^3=[(-6)×log32]×[(1/2)×(1/2)×log25]×[(-

log3(2)*log8(9)

=(lg2/lg3)*(lg9/lg8)(换底)=(lg2*lg9)/(lg3*lg8)=(lg2*2lg3)/(lg3*3lg2)=2/3

已知a=log3底数8真数,那么log3 8 -2log3 6=?用a表示

log38-2log36=a-log336=a-log34×9=a-2/3log38-log39=a-2a/3-2=a/3-2再问:log34乘以9=log34+log39吗再答:对

log3 (4√27)/3 +lg25 +lg4 +7^(log7 2)

=log3(4√27)-log3(3)+lg25*4+7=1/4log3(27)-1+lg100+7=1/4log3(3的3次方)-1+lg(10的2次方)+7=(1/4)3log3(3)-1+2lg

2log3底2-log3底32/9+log3底8

(1).2log₃2-log₃(32/9)+log₃8=2log₃2-(5log₃2-2)+3log₃2=2(2).(9/4)^

关于对数函数log3 (x^2+2)=log3 x+1以log3为底

如果你的问题是:log3(x^2+2)=(log3x)+1则是下面答案:先建立方程:x^2+2=3x(X>0)解答上面方程x^2-3x+2=0得到结果:x=1或x=2

计算log3[(9^2 * 27^(1/3))/3^(log3 234)]

[(9^2*27^(1/3))/3^(log3234)]=(9^2*27^(1/3))/3^(log3234)=(81*3)/(234)=3^5/234log3[(9^2*27^(1/3))/3^(l

一道对数计算,log3(27/5)+log3(2/3)-log3(6/5)

log3(27/5)+log3(2/3)-log3(6/5)=log3(27/5×2/3÷6/5)=log3(3)=1

解不等式(2+log3 x)log3 x>log3 (9x)

(2+log3x)log3x>log3(9x)=>(2+log3x)log3x>log3(9)+log3(x)=>(2+log3x)log3x>2+log3(x)设log3(x)=t=>(2+t)t>