1. ## exponential simultaneous equations

can you please explain how to do the following:

Find the values of a and b such that the graph of y = ae^(-bx) goes through the points (3, 50) and (6, 10).

So I put the numbers into simultaneous equations and i got
1) 50=ae^(-3b)
2) 10=ae^(-6b)

but I dont know how to solve these...

...thankyou

2. Originally Posted by emma
can you please explain how to do the following:

Find the values of a and b such that the graph of y = ae^(-bx) goes through the points (3, 50) and (6, 10).

So I put the numbers into simultaneous equations and i got
1) 50=ae^(-3b)
2) 10=ae^(-6b)

but I dont know how to solve these...

...thankyou
(1)/(2): $5 = e^{3b}$. Solve for b. Substitute value of b into either (1) or (2) and solve for a.

3. how do i work it out for b?

4. Originally Posted by emma
how do i work it out for b?
Apply what you have learned from this thread: http://www.mathhelpforum.com/math-he...e-x-5-6-a.html

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# simultaneous equations involving expoents

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