求助输血120

那琪crystal · 发表于 2011-1-7 15:18:55

120. a=2^4 b=2^a 2^x=a^b 求X 答案有 2^16 2^18 2^32 16^16 ???
思路：
X=4*2^a=2^18

一道很简单的题目，可我怎么就是绕不出来。。。。。

那琪crystal · 发表于 2011-1-7 16:11:32

有人吗有人吗？？？快考了我。。。。。。。。

jganimefan · 发表于 2011-1-7 22:09:31

2^x=a^b

sub in "a" and "b"

given
a = 2^4 then
b = 2^(2^4)= 2^16

therefore
a^b = (2^4)^(2^16)= simplifies to= 2^(2^18)

The question asks given 2^x=a^b what is x, since 2^x=2^(2^18), then x = 2^18

Not sure it this is helpful. I can't type Chinese on this computer. If you don't understand, I can try to use han yu pin yin

sdcar2010 · 发表于 2011-1-7 22:15:03

a=2^4 b=2^a 2^x=a^b 求X 答案有 2^16 2^18 2^32 16^16

a = 2^4 = 16

b = 2^a = 2^16

a^b = (2^4) ^(2^16) = 2^(4*2^16) = 2[(2^2)*(2^16)] = 2[2^18] = 2^x

那琪crystal · 发表于 2011-1-7 22:51:07

2^x=a^b

sub in "a" and "b"

given
a = 2^4 then
b = 2^(2^4)= 2^16

therefore
a^b = (2^4)^(2^16)= simplifies to= 2^(2^18)

The question asks given 2^x=a^b what is x, since 2^x=2^(2^18), then x = 2^18

Not sure it this is helpful. I can't type Chinese on this computer. If you don't understand, I can try to use han yu pin yin

-- by 会员 jganimefan (2011/1/7 22:09:31)

我还是不知道a^b = (2^4)^(2^16)= simplifies to= 2^(2^18)这步是怎么简化的？？？谢谢啊，数学知识都忘光了，汗。。。。。

求助输血120

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