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Katies Grandad
Snot on the Ouse,
United Kingdom

Posts: 2,207
Speed Triple 1050


icon28 Jan 2019 16:26
27 times 8to power2x. No brackets anywhere. Simplify and express in terms of x powers of 3. ie 3 to power ?x

This is supposed to be done sans calculator.
Got me foxed I
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russ123rocket
Swinetown, Wiltshire,
United Kingdom

Posts: 574
Enthusiast


icon28 Jan 2019 17:13
The answer to the ultimate question of life, the universe and everything is 42.
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Katies Grandad
Snot on the Ouse,
United Kingdom

Posts: 2,207
Speed Triple 1050


icon29 Jan 2019 16:17
Well I did think someone on here would have a go at it.
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russ123rocket
Swinetown, Wiltshire,
United Kingdom

Posts: 574
Enthusiast


icon29 Jan 2019 16:31
with Maths being my worst subject at school I make it;

27 times 8to power2x

= 27x(8x2)= 432
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Boycie
Winterdown,
United Kingdom

Site Moderator
Posts: 19,235
Speed Triple T509


icon29 Jan 2019 16:59
Not exactly sure by the way you have written the question (I would have expected an = sign in there:blush:)
but when you say 'express in powers of 3' that would suggest to me the solution will involve
27 = 3 to power 3 (3 cubed) ... just too convenient to have 27 as a cubed number

good luck :thumbup::lol:
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Flappytabs
Derbeeeshire,
United Kingdom

Posts: 19,551
Speed Triple 1050


icon29 Jan 2019 17:28
russ123rocket:
with Maths being my worst subject at school I make it;

27 times 8to power2x

= 27x(8x2)= 432


Isnt 8 to the power of 2 64?
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russ123rocket
Swinetown, Wiltshire,
United Kingdom

Posts: 574
Enthusiast


icon29 Jan 2019 17:31
Flappytabs:
russ123rocket:
with Maths being my worst subject at school I make it;

27 times 8to power2x

= 27x(8x2)= 432


Isnt 8 to the power of 2 64?


probably yes :lol:
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Flappytabs
Derbeeeshire,
United Kingdom

Posts: 19,551
Speed Triple 1050


icon29 Jan 2019 17:34
I think the answer is 12 to the power of 3
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StomaStumpy
Lincolnshire,
United Kingdom

Posts: 4,255
Tiger Sport


icon29 Jan 2019 17:40
… only the question doesn't say 8 ^ 2
It says 8 ^ 2x
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Mach 1
Durham,
United Kingdom

Posts: 1,473
Bonneville (01-08)


icon29 Jan 2019 18:04
I used to be reasonably good at maths , but I can't come up with a figure that ties in with the question . It's a modern take on maths that they make things awkward by using grammar to complicate equations .
You can take it as
(27 x 8 ) x 2 = 432
or 27x (8 x 2 ) = 432
or 27 x ( 8 squared =64) =1728
or (27 x 8) squared = 46,656
None of the above have a whole number that results in 3 to the power of x .
But as Flappytabs says 12 to power of 3 = 12x 12 x12 = 1728 which is third one down :thumbup:
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Flappytabs
Derbeeeshire,
United Kingdom

Posts: 19,551
Speed Triple 1050


icon29 Jan 2019 18:05
x could be 1
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Mach 1
Durham,
United Kingdom

Posts: 1,473
Bonneville (01-08)


icon29 Jan 2019 18:09
:thumbup:

without a calculator you would have to say that
27 is 3 to power of 3 (3 x3 x3 )

8 squared = 64 = 4 to power of 3 (4 x 4 x4 )

4 x 3 = 12 so 12 x 12 x12 :thumbup:
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Flappytabs
Derbeeeshire,
United Kingdom

Posts: 19,551
Speed Triple 1050


icon29 Jan 2019 18:22
isnt that what i said?
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Skeet
The North,
United Kingdom

Posts: 1,944
Enthusiast


icon29 Jan 2019 18:44
No.

I think you may have to factorise it and express it as a log of x.
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StomaStumpy
Lincolnshire,
United Kingdom

Posts: 4,255
Tiger Sport


icon29 Jan 2019 18:57
Flappytabs:
x could be 1


But similarly x could be 173.15
The answer would have to cater for all values of x to be correct.
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Flappytabs
Derbeeeshire,
United Kingdom

Posts: 19,551
Speed Triple 1050


icon29 Jan 2019 19:10
Isn't that quantum astrodoodah?
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StomaStumpy
Lincolnshire,
United Kingdom

Posts: 4,255
Tiger Sport


icon29 Jan 2019 19:12
So:
27 * 8^2x
= 3^3 * 8^2x
= 3^3 * (3^1.892789)^2x
= 3^3 * 3^3.785579x
= 3^(3.785579x+3)

Would have been much easier if it was 27*9^2x
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Mach 1
Durham,
United Kingdom

Posts: 1,473
Bonneville (01-08)


icon29 Jan 2019 19:18
Flappytabs:
isnt that what i said?


Yes it is :thumbup:
I was just extrapolating how you could do it without a calculator :thumbup:
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russ123rocket
Swinetown, Wiltshire,
United Kingdom

Posts: 574
Enthusiast


icon29 Jan 2019 19:20
I am genuinely impressed, I always thought you lot were a bunch of dumbwits on here!
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GDCobra
North West,
United Kingdom

Posts: 2,008
Thruxton (09->)


icon29 Jan 2019 19:34
Why is everyone trying yo boil this down to a number when there is an X involved?
It is obviously an algebraic question requiring the rearrangement of the numbers to also include X in the answer.

Unfortunately I've not done much work with indices for many years so can't 9th and work it out, and bring a lazy git can't be bothered to put any effort into it.
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Flappytabs
Derbeeeshire,
United Kingdom

Posts: 19,551
Speed Triple 1050


icon29 Jan 2019 19:58
I thought x was an typo
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Mach 1
Durham,
United Kingdom

Posts: 1,473
Bonneville (01-08)


icon29 Jan 2019 20:03
The sum isn't too hard GD , but , as I have said , the question has been made difficult by putting it in words instead of numerical figures . IMO it's not really maths , it's just trying to trip people up .
Personally when I took A level maths 40 years ago I can never remember questions like it .
It's all about the interpretation :thumbup:

Flappytabs:
I thought x was an typo


Which x ?
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Skeet
The North,
United Kingdom

Posts: 1,944
Enthusiast


icon29 Jan 2019 20:17
I think you will find its all about factors.:tongueout:
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GDCobra
North West,
United Kingdom

Posts: 2,008
Thruxton (09->)


icon29 Jan 2019 21:29
Mach 1:
The question has been made difficult by putting it in words instead of numerical figures .


Yeah, that's what they call algebra.
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John Nelson
Coventry,
United Kingdom

Posts: 3,278
Speedmaster


icon30 Jan 2019 00:40
Just a thought...
27 as has been mentioned is 3 cubed
No one seems to have picked up that 8 is 2 cubed.
May be a clue in there somewhere, but I haven't done maths for it's own sake in the last 45 years.
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---KK---
Essex,
United Kingdom

Posts: 818
Enthusiast


icon30 Jan 2019 08:09
When Susannah Lipscomb wakes up I'll ask her. :smirk:
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Mach 1
Durham,
United Kingdom

Posts: 1,473
Bonneville (01-08)


icon30 Jan 2019 09:25
GDCobra:
Mach 1:
The question has been made difficult by putting it in words instead of numerical figures .


Yeah, that's what they call algebra.


I don't believe so GD , algebra is substituting a number for a letter or symbol in an equation so that variables can be taken into consideration . That's probably not the best description but that is the gist . In no time when I was at school did they ever write an algebraic equation in words , it is confusing at best and would be unfathomable in Calculus .
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GDCobra
North West,
United Kingdom

Posts: 2,008
Thruxton (09->)


icon30 Jan 2019 14:50
Mach 1:
GDCobra:
Mach 1:
The question has been made difficult by putting it in words instead of numerical figures .


Yeah, that's what they call algebra.


I don't believe so GD , algebra is substituting a number for a letter or symbol in an equation so that variables can be taken into consideration . That's probably not the best description but that is the gist . In no time when I was at school did they ever write an algebraic equation in words , it is confusing at best and would be unfathomable in Calculus .


I'm only referring to the X, for all I know the question was not written with words, that could have simply been the OPS interpretation due to not having correct symbols available.
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Mach 1
Durham,
United Kingdom

Posts: 1,473
Bonneville (01-08)


icon30 Jan 2019 18:27
sorry , misunderstood your post :blush::thumbup:
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Katies Grandad
Snot on the Ouse,
United Kingdom

Posts: 2,207
Speed Triple 1050


icon31 Jan 2019 16:18
I have got it to 3^10x -3^6x by assuming x to be 0.5 and then resubstituting it back into the answer.

27X8^2x =3^3 X (2^3)^2x if x=.5 Then we have 3^3 x 2^3 =6^3

6^3 = (3^2-3)^3 = 3^5 - 3^3. as X = 0.5 this is 3^10x - 3^6x

which i think satisfies the request to express it as x powers of 3.

I awaits the grandson coming back with the marked paper.
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Katies Grandad
Snot on the Ouse,
United Kingdom

Posts: 2,207
Speed Triple 1050


icon01 Feb 2019 18:24
StomaStumpy:
So:
27 * 8^2x
= 3^3 * 8^2x
= 3^3 * (3^1.892789)^2x
= 3^3 * 3^3.785579x
= 3^(3.785579x+3)

Would have been much easier if it was 27*9^2x


Well I got the paper back this morning and guess what. It was a typo. The 8 should have been a 9. To make matters worse the teacher has shown the correct working out for it being a 9 without acknowledging the typo and giving the grandson a big fat 0 for a wrong answer. I give up.
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Obeewan
Eastern Angles,
United Kingdom

Daytona Super III


icon03 Feb 2019 15:45
Katies Grandad:
StomaStumpy:
So:
27 * 8^2x
= 3^3 * 8^2x
= 3^3 * (3^1.892789)^2x
= 3^3 * 3^3.785579x
= 3^(3.785579x+3)

Would have been much easier if it was 27*9^2x


Well I got the paper back this morning and guess what. It was a typo. The 8 should have been a 9. To make matters worse the teacher has shown the correct working out for it being a 9 without acknowledging the typo and giving the grandson a big fat 0 for a wrong answer. I give up.


All that work for zilch!:frown:- I'd point this out to the teacher for not acknowledging their mistake, then kick them in the c!$%/balls.:smirk::thumbup:
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---KK---
Essex,
United Kingdom

Posts: 818
Enthusiast


icon04 Feb 2019 17:56
Ask the maths teacher to solve this. :smirk:

https://i.ibb.co/B355xv2/6f7eee66-f0b1-4...
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Mach 1
Durham,
United Kingdom

Posts: 1,473
Bonneville (01-08)


icon04 Feb 2019 19:00
He 8 too much :smile:
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---KK---
Essex,
United Kingdom

Posts: 818
Enthusiast


icon04 Feb 2019 20:18
I think we know who had the Pi.
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