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\[5^{\log5}^{25}\]

wait..that came out funny..

\[5^{\log5}\]

There is suppoesd to be a 25 next to log 5

\[ 5^{log{5}^{25}}\] ?

\[\huge 5^{(\log5)^{25}}\]?

is 5 the base of the logarithm ?

Turing Test wrote it correctly.

I know how to do it, just am confused about the 5 in the front. what do i do with it?

the the exponent of the log can come out the front
\[5^{log(5)^{25}}=5^{25(log(5)}\]

Thats it? I am still confused.

\[5^{25\log5}\neq5^{25}\times5^{\log5}\]

I have made an error turing test?

\[\log_5(25)=2\]you are tired

I am reading this off of my math book. 5 is the big dog, while \[\log _{5}25\] is above it.

oh yeah i see how wrong that is now

errors ervery where,
perhaps i should just watch and learn

How did you get that? @TuringTest

\[\huge 5^{\log_5(25)}=5^2=25\]because\[\huge 5^2=25\]

I appologize, srry, i did read it wrong. srry srry.

I am new to log, so yea, srry.

but in general\[\huge a^{\log_a(x)}=x\]so we could have skipped that analaysis

it's ok, let me know if you have more questions

You are familiar with log? Because dont understand em at all :P

\[\large\log_2(4)\]asks
"2 raised to what power equals 4?"
so what is the answer?

2 rite?

right
because 2^2=4
so what about\[\log_2(16)\]?

right
so now you should see why\[\log_5(25)=2\]yes?

YES!! wow!! It is 5 because 5^5 is equal to 25

\[5^2\]

Whoops..srry, so the exponent is the answer?

yeah\[\log_2(16)=4\]as you said, because\[2^4=16\]

Is that always the case?

so\[\log_5(25)=2\]because\[5^2=25\]

so do some more
what is\[\log_4(16)\]?

right\[\log_{10}(10000)\] ?

umm..lol, 1000

I think i got it wrong

Wait..no, its 100

\[10^{100}\neq10000\]

So what is it?

I dont have a calculator rite now :P

\[10^{4}?\]

exactly
so\[\log_{10}(10000)=4\]because\[10^4=10000\]

That makes its it so simple

No, we havent been taught those. We started log in class today.

Yea, just by reading it, I understand the first function.

I also understand the second one, the third one looks funny.

lol, i find myself saying "2 raised to what power is 2" thats a neat trick

Wow, i never knew log could be so simple :D

I'm glad you feel that way :D

Thanx a ton :D I am now cleared up on log, thank you thank you!!!

happy to help!