# Is it Possible to solve Exponential Equations like these?

## Homework Statement

Hi, I have come across this equation in modelling exponential growth and decay. I am wondering if it is possible to solve it algebraically or not?

## Homework Equations

8000-1.2031 * e^ (0.763x)=(0.5992×e^0.7895x)

## The Attempt at a Solution

Brought all e^(ax) values to one side, however beyond that step I am really not sure of where to go, have looked at the problem for several hours without any results, any help would be appreciated.

SteamKing
Staff Emeritus
Homework Helper

## Homework Statement

Hi, I have come across this equation in modelling exponential growth and decay. I am wondering if it is possible to solve it algebraically or not?

## Homework Equations

8000-1.2031 * e^ (0.763x)=(0.5992×e^0.7895x)

## The Attempt at a Solution

Brought all e^(ax) values to one side, however beyond that step I am really not sure of where to go, have looked at the problem for several hours without any results, any help would be appreciated.
In general, there is no algebraic method to solve such equations since they are transcendental rather than algebraic by nature.

Only a numerical or graphical solution can be obtained. Iteration using different trial values of x is probably the quickest way to find a solution here.

Hi SteamKing, thankyou for your answer, I have learnt something from that.

haruspex