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!

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

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!

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

Re: Solving for Exponents as Variables

Quote:

Originally Posted by

**skeeter**

great! Much appreciated!