Try solving this log equation using algebra

1. Jan 13, 2005

newcool

6-2x = 3 * log (x)

Is it possible to solve such an equation without graphing?

2. Jan 13, 2005

dextercioby

No.Even graphic methods only give an approximate value...

Daniel.

3. Jan 13, 2005

Dr Transport

try Newton's method (numerical iteration)

$$x_{i+1} = x_{i} - \frac{f(x_{i})}{f'(x_{i})}$$. Write the function as

$$f(x) = 3\log(x) - 6 + 2x$$ and

$$f'(x) = \frac{3}{\ln(10)x} + 2$$ (the derivative of the function.

Choose a number not zero to start and just iterate away.