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GOODMANBest ResponseYou've already chosen the best response.2
wait..that came out funny..
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
There is suppoesd to be a 25 next to log 5
 2 years ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
\[ 5^{log{5}^{25}}\] ?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
\[\huge 5^{(\log5)^{25}}\]?
 2 years ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
is 5 the base of the logarithm ?
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Turing Test wrote it correctly.
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
I know how to do it, just am confused about the 5 in the front. what do i do with it?
 2 years ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
the the exponent of the log can come out the front \[5^{log(5)^{25}}=5^{25(log(5)}\]
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Thats it? I am still confused.
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
\[5^{25\log5}\neq5^{25}\times5^{\log5}\]
 2 years ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
I have made an error turing test?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
\[\log_5(25)=2\]you are tired
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
I am reading this off of my math book. 5 is the big dog, while \[\log _{5}25\] is above it.
 2 years ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
oh yeah i see how wrong that is now
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
well now that we've got it sorted out the problem is trivial goodman please try to post more clearly, that is not what you originally wrote
 2 years ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
errors ervery where, perhaps i should just watch and learn
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
How did you get that? @TuringTest
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
\[\huge 5^{\log_5(25)}=5^2=25\]because\[\huge 5^2=25\]
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
I appologize, srry, i did read it wrong. srry srry.
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
I am new to log, so yea, srry.
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
but in general\[\huge a^{\log_a(x)}=x\]so we could have skipped that analaysis
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Oh yea, because it always is equal to the front number. Yea, okay, got it :D Thanx, srry for the mix up :/
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
it's ok, let me know if you have more questions
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
You are familiar with log? Because dont understand em at all :P
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
yes, they can be a bit tricky at first think about small numbers first the definition as I like to give it:\[\huge\log_ax=b\text{ if }a^b=x\]in other words\[\large \log_ax\]asks "what power do we raise a to in order to get x?" for example...
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
\[\large\log_2(4)\]asks "2 raised to what power equals 4?" so what is the answer?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
right because 2^2=4 so what about\[\log_2(16)\]?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
right so now you should see why\[\log_5(25)=2\]yes?
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
YES!! wow!! It is 5 because 5^5 is equal to 25
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Whoops..srry, so the exponent is the answer?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
yeah\[\log_2(16)=4\]as you said, because\[2^4=16\]
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Is that always the case?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
so\[\log_5(25)=2\]because\[5^2=25\]
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
in general we have\[\huge\log_a(x)=y\iff a^y=x\]so yes, that means always you could say that the question is on the left: "a to what power equals x?" the answer is on the right "a to the y equals x"
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
so do some more what is\[\log_4(16)\]?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
right\[\log_{10}(10000)\] ?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
the question is "10 to what power equals 10000" you are asserting that\[\large10^{1000}=10000\]which I dont think you believe what is\[10^2\] ?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
\[10^{100}\neq10000\]
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
I dont have a calculator rite now :P
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
\[10^2=10\cdot10=100\]\[10^3=10\cdot10\cdot10=1000\]the exponent on the ten is the number of zeros after the one so 10 to what power equals 10000 ?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
exactly so\[\log_{10}(10000)=4\]because\[10^4=10000\]
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
That makes its it so simple
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
yeah that's a handy rule, and is used in science to describe very large and small numbers last one: how about\[\log_3(81)\]
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
right :D do you know the basic log rules\[\log(ab)=\log a+\log b\]\[\log(\frac ab)=\log a\log b\]\[\log(a^b)=b\log a\]?
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
No, we havent been taught those. We started log in class today.
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
when you start using that things will be easier \[\large \log(ab)=\log a+\log b\text{ because }x^a\cdot x^b=x^{a+b}\]for example it takes a bit to get used to those ideas though
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Yea, just by reading it, I understand the first function.
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
I also understand the second one, the third one looks funny.
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
the third one can be illustrated by the problems we just did first I will ask you what is\[\log_22\]?
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
lol, i find myself saying "2 raised to what power is 2" thats a neat trick
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
I'm glad, it helps me! and in general\[\log_aa=1\]now look at\[\log_2(16)\]if we factor 16 we get\[\log_2(2^4)\]now apply the third rule\[4\log_2(2)=4(1)=4\]so we get the answer we already knew it also shows that\[\log_aa^x=x\]which is nice to know that's how I did your earlier problem) so by factoring and using these rules we can break down lots of numbers with logs
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
now here's the last grand example\[\log_2(24)=\log_2(2^3\cdot3)\]using the first rule\[\log_2(2^3)+\log_23\]and now the third\[3\log_2(2)+\log_23=3+\log_23\]and that's as far as it goes
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Wow, i never knew log could be so simple :D
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
I'm glad you feel that way :D
 2 years ago

GOODMANBest ResponseYou've already chosen the best response.2
Thanx a ton :D I am now cleared up on log, thank you thank you!!!
 2 years ago
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