Hard maths equation!

Hi, I'm getting stuck on the equation 50e^x(10x)=20
I can work it down to x + ln(x) = ln (1/25), which I'm pretty sure is correct.
But I dont know how to work the ln bit out at all.

Any help would be appreciated, thanks!

Reply 1

TenOfThem

18

Original post by Student10011

Hi, I'm getting stuck on the equation 50e^x(10x)=20
I can work it down to x + ln(x) = ln (1/25), which I'm pretty sure is correct.
But I dont know how to work the ln bit out at all.

Any help would be appreciated, thanks!

That cannot be solved algebraically, you would need to use Numerical Methods

Reply 2

alow

19

Original post by Student10011

Hi, I'm getting stuck on the equation 50e^x(10x)=20
I can work it down to x + ln(x) = ln (1/25), which I'm pretty sure is correct.
But I dont know how to work the ln bit out at all.

Any help would be appreciated, thanks!

do you mean 50e^(10x^2)=20 ?

Reply 3

RoyalBlue7

19

Yes this cannot be solved algebraically ^^.

Was trying for the last ten minutes :frown:

Reply 4

Student10011

OP

Original post by alow

do you mean 50e^(10x^2)=20 ?

No, just 10x, it can be solved, I have an estimate of around 0.925/25. It seems from what others say, it can't be done algebraically. Thanks though.

Reply 5

Student10011

OP

SOLVED IT! Did it myself. I made the equation an iterative formula, and after many = presses on the calc, it terminated at a finite decimal number of 0.03848966594!

Thanks everyone

Reply 6

Ateo

9

Original post by Student10011

SOLVED IT! Did it myself. I made the equation an iterative formula, and after many = presses on the calc, it terminated at a finite decimal number of 0.03848966594!

Thanks everyone

Look up the Newton-Raphson method if you're interested in solving by numerical methods.

Reply 7

TenOfThem

18

Original post by Student10011

SOLVED IT! Did it myself. I made the equation an iterative formula, and after many = presses on the calc, it terminated at a finite decimal number of 0.03848966594!

Thanks everyone

Well done - discovering maths for yourself is great :smile:

Hard maths equation!

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