How would one go about solving thisalgebraically?

I understand that I can graph it and find the points of intersection, in which case the answers are 1 and 3.

Can anyone provide a step by step solution to this problem algebraically?

Printable View

- Nov 10th 2011, 01:08 PMphysicsdreams3^x=12x-9
How would one go about solving this

__algebraically__?

I understand that I can graph it and find the points of intersection, in which case the answers are 1 and 3.

Can anyone provide a step by step solution to this problem algebraically? - Nov 10th 2011, 01:18 PMPlatoRe: 3^x=12x-9
One does not solve this type of equation using algebraically.

You need to understand the Lambert W Function. - Nov 11th 2011, 03:59 PMHallsofIvyRe: 3^x=12x-9
"By inspection" $\displaystyle 3^1= 3= 12(1)- 9$ so one solution is x= 1.

- Nov 11th 2011, 04:47 PMPlatoRe: 3^x=12x-9
- Nov 17th 2011, 12:51 PMHallsofIvyRe: 3^x=12x-9
I would say it does! It does suffer from the weakness of not telling whether that is the

**only**solution or not!