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anonymous
 one year ago
If I knew all the other values except for n, how would I solve for n in this equation: a_n=a_1 r^((n1) )
anonymous
 one year ago
If I knew all the other values except for n, how would I solve for n in this equation: a_n=a_1 r^((n1) )

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here is the equation in a better format

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0best way would be to take natural logarithm on both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and use lograthim properties.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is there a simpler way to do it? Because I haven't learned how to do that yet

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0specifically you can use log(ab) = loga + logb property here

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Usually, when you are solving for an exponent, you need to use logarithms.

A_clan
 one year ago
Best ResponseYou've already chosen the best response.0\[a _{n}/ a _{1} = r ^{n1}\]

A_clan
 one year ago
Best ResponseYou've already chosen the best response.0Solve LHS. and transform it to a form which is similar to RHS. Then compare

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes I think mathstudent55 is true. But there's one exception, if a_n/a_1 can be written as r^x, then x=n1. That's the case I can think of solving this without using logarithm.
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