已知log2 3等于a
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1)(a+1/a)^2=25=a^2+1/a^2+2所以a^2+1/a^2=25-2=232)x^2y-xy^2-x+y=56xy(x-y)-(x-y)=568*(x-y)-(x-y)=567*(x-
∵(a-1/a)=10∴(a-1/a)²=10²a²-2+1/a²=100a²+2+1/a²=104∴(a+1/a)²=104
log(14)56=[log3(56)]/[log3(14)]=[3log3(2)+log3(7)]/[log3(2)+log3(7)]=[(3/a)+b]/[(1/a)+b]=[ab+3]/[ab+
log2(3)=alog3(2)=1/alog3(7)=blog3根号7(2根号21)=log根号63(根号84)=log3(84)/log3(63)={1+log3(7)+2log3(2)}/{2+
利用换底公式.全部换成lg为底的.lg3/lg2*lg5/lg3*lg8/lg5=lg8/lg2=3
(1)由题意可知:令x=y=0,则f(0+0)=f(0)+f(0),所以f(0)=0,令y=-x,可知f(x-x)=f(x)+f(-x)=f(0)=0,∴f(-x)=-f(x),所以函数f(x)为奇函
原式=(lg9/lg8)/(lg3/lg2)=(2lg3/3lg2)/(lg3/lg2)=2/3
(lg5)^2+2lg2+(lg2)^2+log2(3)log3(4)=(lg5+lg2)^2+log2(4)=1+2=3
a的立方根等于aa³-a=0a(a²-1)=0a(a+1)(a-1)=0所以a=-1或a=0或a=1
根据非负数的性质a2≥0,根据二次根式的意义,-a2≥0,故只有a=0时,-a2有意义,所以,-a2=0.故选D.
log37=log27/log23所以log27=log23log37log37=log27/log23所以log27=log23log37公式logab=logcb/logca
换底公式可得log3=alog2,log7=blog3,因此log7=ablog2.对log4256也运用换底公式可得log4256=log56/log42=log(2×2×2×7)/log(2×3×
由log(3)7=a,log(23)=blog(3)7=log(2)7/log(2)3=a,则log(2)7=a*
A(5-A)=1,A^2-5A+1=0
log37^½=log33^(½b)=½b,不知这样表达有没有问题
{-1,0}
∵1=log33>a=log32>log31=0,b=log52<log32=a,c=log23>log22=1,∴c>a>b.故答案为:c>a>b.
lg3=alg2lg5=blg3lg20=xlg152lg2+lg5=x(lg3+lg5)2lg2+blg3=x(lg3+blg3)2lg2+ablg2=x(alg2+ablg2)2+ab=x(a+a
log23=lg3/lg2=b/a选A