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Reply 1
1 repeating digits 2,4,8,1,3,6,1,2,5,1 every 10th digit is a 1 tho this doesnt answer the q...
EDIT: and is wrong as it all goes to pot relatively quickly... damnabbit
so 100000log2 = 30102.9996 blah

log(8x1030102) is slightly less than this

log(9x1030102) is slightly less than this also (how you can get this from only log2 value though? )

So I guess the first digit as 9
Reply 3
Sorry, a clever person already solved it for me :smile: If you are interested, you also get the value of log 3 (edited original question). I had exactly the same idea arran but it is incorrect :frown:
Reply 4
Write out log x for x from 1 to 10 (luckily you don't need 7 and you can do the rest easily)
log 2^1000 = 1000 log 2 = 301.029996
so 2^1000 = 10^301 x 10^0.29996
and 0<0.029996<0.301
so 10^0 < 10^0.29996 < 10^0.301
so the first digit is a 1.
basically, the decimal bit is the number that needs to be multiplied by the power of 1.


so 2^100000, then...
log 2^100000 = 100,000 log 2
= 30102.9996
= 10^30102 x 10^0.9996

and 0.954 < 0.9996 < 1
so the first digit is a 9

(using logs as "x=log 5, so 10^x = 5")

love danniella.
ah, you also get log3? Magical :p:

just have a splash around with 2log3 then
Nice work danniella - too nice if you ask me, get back to your GCSE revision!!
Reply 7
KAISER_MOLE
Nice work danniella - too nice if you ask me, get back to your GCSE revision!!


*grumbles*
Okay, okay, I'm going... Non-calculator on Monday... wish me luck!
:rolleyes:

love danniella

Edited to add: yes, you were given log 2 and log 3 in the question.
Reply 8
KAISER_MOLE
Nice work danniella - too nice if you ask me, get back to your GCSE revision!!


Dem young whippersnappers eh? :p:
Reply 9
I think that question was in my Oxford admissions exam this year, but I think it was a smaller power and they also asked for the number of digits. Not that I could do that one, it always makes you feel better about yourself when a GCSE student can do Alevel maths better than you can...
Reply 10
Popa Dom
I think that question was in my Oxford admissions exam this year, but I think it was a smaller power and they also asked for the number of digits. Not that I could do that one, it always makes you feel better about yourself when a GCSE student can do Alevel maths better than you can...

I've seen this question in the STEP booklet as well.
Yeah, I remember that question from the test. Funny thing is I got it right then but couldn't remember how to do it. I really do think I'm getting worse at Maths...
Reply 12
For the record it is Q1 on STEP I from 2000 (not in the booklet though?). The handwritten solutions that are floating around on the web do not show how to answer the question.

Interesting to hear a similar one was on the Oxford test...
You guys ever heard of log books? Isnt this kinda question based on what log books were about. My dad had a 5 figure log book :P.

Edit: Danniella maybe you should be doing a maths degree rather than medicine :p:.
Reply 14
Baal_k
Dem young whippersnappers eh? :p:


... who can't do 3D sine and cosine rule... :rolleyes:

love danniella
Reply 15
insparato
Edit: Danniella maybe you should be doing a maths degree rather than medicine :p:.


Or perhaps Danniella should start to put a bit of effort into chemistry, physics and biology... :rolleyes:

love danniella
Yep its a 9.

I spend 8 hours last night doing it on paper.

2 x 2 x 2 x 2 x...
danniella
Or perhaps Danniella should start to put a bit of effort into chemistry, physics and biology... :rolleyes:

love danniella


lol, you'll be as good as me :p:. No i kid its not that hard at all. I find maths a challenge 9 times out of 10 biology chemistry physics is just recalling facts.
MrTrig
Yep its a 9.

I spend 8 hours last night doing it on paper.

2 x 2 x 2 x 2 x...

lol, joker.
Reply 19
MrTrig
Yep its a 9.

I spend 8 hours last night doing it on paper.

2 x 2 x 2 x 2 x...

So long?! Pffft... I did it in 5 hours. :p: