SOLUTION: Hello, I would like to solve the equation below for X, but I struggle with exponent C, which makes it kind of difficult... x = a

SOLUTION: Hello, I would like to solve the equation below for X, but I struggle with exponent C, which makes it kind of difficult... x = a - b*x^c

Question 1151681: Hello,
I would like to solve the equation below for X, but I struggle with exponent C, which makes it kind of difficult...
x = a - b*x^c
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Because the x occurs both as a linear term and as a term to the power c, you can't solve the general equation for x.

For the value c=1, solving the equation is simple:

x = a-bx^1
x = a-bx
x+bx = a
x(1+b) = a
x = a/(1+b)

And you could also solve the equation if c=2:

x = a-bx^2
bx^2+x-a = 0
Then use the quadratic formula....

But for other values of c, the given equation can't be solved for x.

RELATED QUESTIONS
I had this exponent problem. 3^x-2 = 81 --> 3^4 = 81 I can solve it by trial and... (answered by robertb)

I am trying to solve this exponent equation: 3^2-x^2=8 the whole exponent is 2-x^2. I... (answered by dabanfield,richwmiller)

Hello, I'm having a bit of a difficult time figuring out if I have done this problem... (answered by stanbon,Earlsdon)

Hello, I am struggling with this homework problem. I need to solve for "x" of course, but (answered by bucky)

Hello, I'd like to know how to solve the following Logarithmic equation for x... (answered by Edwin McCravy,Alan3354,MathTherapy)

Hello, I would like to find help in HOW to solve a quadratic equation such as the one... (answered by josgarithmetic,ikleyn)

Hello, I am trying to solve the below equation for x, but am somehow messing up one of... (answered by Fombitz,MathTherapy)

my daughter is having a difficult time with math. I would like to help, but it has been... (answered by richwmiller)

I am in serious need of help with quadratic equations. If someone could be so kind as to... (answered by Fombitz)