Trying to isolate a variable and keep getting stuck

Dari

Lifer
Oct 25, 2002
17,133
38
91
I have an equation: exp(-a)*exp(-b) +c = exp(-d)

I'm trying to isolate a variable but I'm not sure what to do with the left side when I take the natural log of both sides. that c is bothering me me. Any ideas?
 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: Dari
I have an equation: exp(-a)*exp(-b) +c = exp(-d)

I'm trying to isolate a variable but I'm not sure what to do with the left side when I take the natural log of both sides. that c is bothering me me. Any ideas?

What variable are you trying to isolate?

The natural log of sums is just that ... the natural log of sums. You can't simplify it down any more.
 

Dari

Lifer
Oct 25, 2002
17,133
38
91
Originally posted by: chuckywang
Originally posted by: Dari
I have an equation: exp(-a)*exp(-b) +c = exp(-d)

I'm trying to isolate a variable but I'm not sure what to do with the left side when I take the natural log of both sides. that c is bothering me me. Any ideas?

What variable are you trying to isolate?

The natural log of sums is just that ... the natural log of sums. You can't simplify it down any more.

the variable is in a,b and d. are you saying that I cannot simply: ln(exp(-a)*exp(-b) +c) = ln(exp(-d)) any further?
 

TuxDave

Lifer
Oct 8, 2002
10,571
3
71
Have you used these identities?

exp(a)*exp(b) = exp(a+b)
exp(a)/exp(b) = exp(a-b)

With that you should be able to rearrange the equation into:

exp(k*x) = blah

And then you can do the natural log and solve.
 

Dari

Lifer
Oct 25, 2002
17,133
38
91
Originally posted by: TuxDave
Have you used these identities?

exp(a)*exp(b) = exp(a+b)
exp(a)/exp(b) = exp(a-b)

With that you should be able to rearrange the equation into:

exp(k*x) = blah

And then you can do the natural log and solve.

yeah, I've done all that. Anyone know how to solve a single equation in matlab?