# 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.