A=P(1+(r/n))^nt
isolate r

Question

A=P(1+(r/n))^nt  
isolate r

mathstudent55 · Answer

$a = P\left( 1 + \dfrac{r}{n} \right) ^{nt} $

anonymous · Answer

thats correct.
i can plug in values if that will help.

mathstudent55 · Answer

No.
First, divide both sides by P.

anonymous · Answer

ok done

anonymous · Answer

then what do i do with the exponents?

mathstudent55 · Answer

$\dfrac{a}{P} = \left( 1 + \dfrac{r}{n} \right) ^{nt}$

Since the right side is raised tot eh nt power, ne we take the nt root of both sides:

$ \large  \sqrt[nt]{\dfrac{a}{P}} = \sqrt[nt]{\left( 1 + \dfrac{r}{n} \right) ^{nt}}$

$ \large  \sqrt[nt]{\dfrac{a}{P}} = 1 + \dfrac{r}{n}$

Now we subtract 1 from both sides:

$ \large  \sqrt[nt]{\dfrac{a}{P}} -1 = \dfrac{r}{n}$

Now multiply both sides by n:

$ \large  \large( \sqrt[nt]{\dfrac{a}{P}} -1 \large)n = r$

anonymous · Answer

in my class we are studying logarithms and exponential functions. if i isolate r will it give me the same answer as if i solve using logarithms?

mathstudent55 · Answer

yes

anonymous · Answer

k cool

anonymous · Answer

thanks

anonymous · Answer

how would i do it using logarithms?