# Simultaneous equations using exponential functions

1. Apr 7, 2010

### Wardlaw

1. The problem statement, all variables and given/known data

Solve the following equations using simultaneous equations

2. Relevant equations

32x$$\times$$23y=17

4x$$\times$$5y=37

Appologies for the bad equation set-up. The large 'x' is a multiplication sign.

3. The attempt at a solution
My attempt was to divide both of the equations together and then solve for x and y respectively, using the laws of logarithms.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Apr 7, 2010

### ehild

What about taking the logarithm of both equations?

ehild

3. Apr 7, 2010

### HallsofIvy

Excellent suggestion!

4. Apr 7, 2010

### Wardlaw

Yes, i tried this. However the answer i get does not match the answer set in the textbook!

5. Apr 7, 2010