# Thread: Exponential and Logarithmic Equations

1. ## Exponential and Logarithmic Equations

Hi. I am extremely confused with this question:

Express the function N(r) = -5000 ln r in its equivalent exponential form. Give a complete explanation of how an exponential equation is related to its equivalent logarithmic equation.

I am curious as to how to convert the logarithmic equation to its equivalent exponential equation.
I was assigned this today and I have a test tomorrow on similar material.

Any help would be greatly appreciated. Thanks.

2. if $a = \log_b{c}$ , then $b^a = c$

3. thanks, but how would I be able to convert N(r) = -5000 ln r to ? what does A, B, and C equal? Thanks

4. $-\frac{N}{5000} = \log_e{r}$

5. so, let me get this straight:

The function N(r) = -5000 ln r is equivalent to the exponential form of e^-(N/5000) = r. This is gathered through several steps. First, keeping in mind that a = logbc = b^a = c, one gains the knowledge that –(N/5000) is equal to loger when applied to the logarithmic equation of N(r) = -5000 ln r.

Is this right?

6. Originally Posted by contristo
so, let me get this straight:

The function N(r) = -5000 ln r is equivalent to the exponential form of e^-(N/5000) = r.

Is this right?
yes

7. thank you. I appreciate the help.