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Old 18th January 2013, 12:15 AM   #1 (permalink)
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Need help on this math sum

10^(1/2x - 3) = 5[e^(x+1)]
Find x.

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Old 18th January 2013, 12:29 AM   #2 (permalink)
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Is that half x or one over 2x?

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Old 18th January 2013, 12:42 AM   #3 (permalink)
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Re: Need help on this math sum

oh sorry it's half x

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Old 18th January 2013, 01:20 AM   #4 (permalink)
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Re: Need help on this math sum

Originally Posted by imagel View Post
10^(1/2x - 3) = 5[e^(x+1)]
Find x.
I guessing this involves logarithms.

Taking ln by both sides.

(0.5x - 3)ln10=ln5 + (x+1)
(0.5ln10)x - 3ln10 = ln5 + x + 1
I guess you do not need help from here?

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Old 18th January 2013, 02:14 AM   #5 (permalink)
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Re: Need help on this math sum

Originally Posted by Tetrahedron View Post
I guessing this involves logarithms.

Taking ln by both sides.

(0.5x - 3)ln10=ln5 + (x+1)
(0.5ln10)x - 3ln10 = ln5 + x + 1
I guess you do not need help from here?
5[e^(x+1)], after ln, won't it become smth like :
ln5[lne^(x+1)] = ln5(lne^x)(lne^1) = ln5(x) ?

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Old 18th January 2013, 03:18 AM   #6 (permalink)
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Re: Need help on this math sum

Originally Posted by imagel View Post
5[e^(x+1)], after ln, won't it become smth like :
ln5[lne^(x+1)] = ln5(lne^x)(lne^1) = ln5(x) ?



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Old 18th January 2013, 09:37 AM   #7 (permalink)
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Re: Need help on this math sum

Wah so hard....

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Old 18th January 2013, 03:30 PM   #8 (permalink)
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Re: Need help on this math sum

Originally Posted by Betakuwe View Post


Isn't it like this? o.o
lne^(x+1) = (lne^x)(lne) = x

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Old 18th January 2013, 06:28 PM   #9 (permalink)
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Re: Need help on this math sum

Originally Posted by imagel View Post
Isn't it like this? o.o
lne^(x+1) = (lne^x)(lne) = x

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Old 18th January 2013, 08:15 PM   #10 (permalink)
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Re: Need help on this math sum

Originally Posted by imagel View Post
Isn't it like this? o.o
lne^(x+1) = (lne^x)(lne) = x
Ah you have a conceptual error.
ln(e^(x+1))=lne^x+lne^1
According to basic rules of logarithms: ln(ab)=lna+lnb

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Last edited by Tetrahedron; 18th January 2013 at 08:16 PM.
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Old 18th January 2013, 08:53 PM   #11 (permalink)
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Re: Need help on this math sum

Originally Posted by Betakuwe View Post
too long never do log alr forgot all the rules. thanks so much (:

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Old 18th January 2013, 09:15 PM   #12 (permalink)
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Re: Need help on this math sum

Originally Posted by imagel View Post
too long never do log alr forgot all the rules. thanks so much (:
Don't memorise. Understand the reasoning behind the "rules" and they will become second nature to you.

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Using Latex

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Old 18th January 2013, 10:18 PM   #13 (permalink)
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Yeah, understand and practise more. No matter how hard the questions are, as long as you practise more, you will be able to do it without much difficult with a little bit of thinking.

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