The question says:"I tried:

By changing the base of the exponent to e, express y in terms of A, e and t."

It just goes round in a circle. What am I doing wrong?

Thanks in advance.

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- Apr 27th 2009, 12:13 PMtleave2000[SOLVED] How to change the base of y=A(1.3)^-t
The question says:

"I tried:

By changing the base of the exponent to e, express y in terms of A, e and t."

It just goes round in a circle. What am I doing wrong?

Thanks in advance. - Apr 27th 2009, 01:20 PMpfloChanging exponential bases
Taking the last equality on your second line:

Quote:

Another way of thinking of it is to solve the following for*x*:

to get .

Then, instead of using 1.3 as your base, use

It may seem strange to leave your answer in this form, without simplifying the*e*to the "*ln*" power, but there could be a variety of reasons for it. For example, now you know that is the rate of decay in a continuous decay model. - Apr 27th 2009, 01:41 PMtleave2000
Thanks a lot, that's a really great answer. : )