# Solving for Exponents as Variables

• Nov 4th 2012, 02:06 PM
sakonpure6
Solving for Exponents as Variables
I have the equation $\displaystyle Value = 6(0.92)^n$
I need to know what the cost will be when the Value is 1

So I did this

$\displaystyle Value = 6(0.92)^n$
$\displaystyle 1 = 6(0.92)^n$
$\displaystyle 1/6 = 0.92^n$

I'm stuck there. Any help is appreciated!
• Nov 4th 2012, 02:10 PM
topsquark
Re: Solving for Exponents as Variables
Quote:

Originally Posted by sakonpure6
I have the equation $\displaystyle Value = 6(0.92)^n$
I need to know what the cost will be when the Value is 1

So I did this

$\displaystyle Value = 6(0.92)^n$
$\displaystyle 1 = 6(0.92)^n$
$\displaystyle 1/6 = 0.92^n$

I'm stuck there. Any help is appreciated!

Hint: $\displaystyle \log_{10} \left ( 0.92 ^n \right )$ is what?

(or you could use ln just as easily.)

-Dan
• Nov 4th 2012, 02:14 PM
sakonpure6
Re: Solving for Exponents as Variables
Quote:

Originally Posted by topsquark
Hint: $\displaystyle \log_{10} \left ( 0.92 ^n \right )$ is what?

(or you could use ln just as easily.)

-Dan

Lol, I'm sorry but I have no Idea what log and In are or how to solve that!
• Nov 4th 2012, 02:19 PM
skeeter
Re: Solving for Exponents as Variables
Quote:

Originally Posted by sakonpure6
Lol, I'm sorry but I have no Idea what log and In are or how to solve that!

then you need to learn how ...

Solving Exponential Equations by Using Logarithms
• Nov 4th 2012, 02:20 PM
sakonpure6
Re: Solving for Exponents as Variables
Quote:

Originally Posted by skeeter

great! Much appreciated!