www.ylrr.net > 在对数式log2 32=5真数是什么

在对数式log2 32=5真数是什么

因为32=2^5 所以log2 32=5

2的5次方=32

log2 32=5

是5

2^(3+log2(5))=2^3*2^(log2(5))=8*5=40证明a^loga(b)=ba^log(a)(b)=klog(a)(b)=log(a)(k)k=b

log2 5 = x (1)2^x = 5 (2) 对一般计算器和数学用表没有以2为底的对数计算或表可用,这时用换底公式:对(2)两边取10进对数,log 2^x = x log 2 = log 5 x = log 5 / log 2 ≈ 2.3219 对数函数是6类基本初等函数之一.其中对数的定义:如果ax =N(a>0

[log3(2)+log2(3)]^2-log3(2)/log2(3)-log2(3)/log3(2)=[log3(2)+log2(3)]^2-[1/log2(3)]/log2(3)-[1/log3(2)]/log3(2)=[1/log2(3)+1/log3(2)]^2-[1/log2(3)]^2-[1/log3(2)]^2=2/[log2(3)*log3(2)]=2

5=log2 23

log2(3)=a---->log3(2)=1/alog3(7)=blog12(56)=log3(56)/log3(12)=log3(7*2)/log3(3*2)=【log3(7)+3log3(2)】/[log3(3)+2log3(2)]=(b+3/a)/(1+2/a)=(ab+3)/(a+2)

=log2 2的(-5)次方=-5log2 2=-5

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