Simultaneous equations using exponential functions

[Wardlaw]

Homework Statement

Solve the following equations using simultaneous equations

Homework Equations

3^2x$$\times$$2^3y=17

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

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

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.

 

[ehild]

What about taking the logarithm of both equations?

ehild

 

[HallsofIvy]

Excellent suggestion!

 

[Wardlaw]

What about taking the logarithm of both equations?

ehild

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

 

[ehild]

Show your work.

ehild