求log3^2*log4^9的值求log3^2*log4^9的值

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/17 17:28:04

求log3^2*log4^9的值求log3^2*log4^9的值
求log3^2*log4^9的值
求log3^2*log4^9的值

求log3^2*log4^9的值求log3^2*log4^9的值
log(a)(b)表示以a为底的b的对数.
所谓的换底公式就是log(a)(b)=log(n)(b)/log(n)(a).
log3^2*log4^9=(1g2/1g3)*(1g9/1g4)
=(1g2/1g3)*(2*1g3/2*1g2)
=(1g2/1g3)*(1g3/1g2)
=1

log3^2*log4^9=log3^2*（2/2)*log2^3=1

log3^2*log4^9
=log3^2*2*log4^3
=log3^2*2*1/2*log2^3
=1

1，log4^9=log3^2分之一

用换底公式。
log3^2*log4^9=(1g2/1g3)*(1g9/1g4)
=(1g2/1g3)*(2*1g3/2*1g2)
=(1g2/1g3)*(1g3/1g2)
=1

1

求log3^2*log4^9的值求log3^2*log4^9的值 求(log3^2 + log9^2)×（log4^3 + log8^3)的值.请给出过程,谢谢! 已知x满足等式log3^(log4^x)=0,求log1/2^x的值 已知log2(log3(log4x))=log3(log4(log2y))=0,求x+y的值 已知:log2[log3(log4x)]=log3[log4（log2y)]=0 求x+y的值 log2[log3(log4x)]=log3[log4(log2y)]=0求x+y的值, log3^x=log4^x求x值 log4[log3(log2x)]=0,求x^-1/2 log3的2次乘以log4的x次=1 求x 若log2【log3(log4 x)]=0,求x的值 若LOG4[LOG3(LOG2(X)]=0,求X的值 Log2⒊log3⒋log4ⅹ=log9⒊求x的值 log3(10)=a, log6(25)=b,求log4(45）的值 (log2^5+log4^125)(log3^2)/(log(根号3)^5 要具体的过程, [log3（4）+log根下3（2）][log2(9)+log4(根3)] (log2 5+log4 125)log3 2/ log根号3 5 log3[log4(log5a)]=log4[log3(log5b)]=0求a/b等于几? log6[log4(log3^81)]的值