## Solving an equation with logarithms

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

### Solving an equation with logarithms

Hello,
I am having trouble isolating W in the following equation, because it is outside and inside the logarithm:

$R=W \cdot log_2(1+\frac{P}{W})$

I tried a number of things, but I always end up with a W as an exponent, and a W that is not an exponent, and I am unable to isolate W.

Thank you,
phiv

Posts: 2
Joined: Fri Nov 05, 2010 1:13 am

### Re: Solving an equation with logarithms

phiv wrote:Hello,
I am having trouble isolating W in the following equation, because it is outside and inside the logarithm:

$R=W \cdot log_2(1+\frac{P}{W})$

I tried a number of things, but I always end up with a W as an exponent, and a W that is not an exponent, and I am unable to isolate W.

Thank you,

you can't solve for w explicitly. If you want a solution you will have to do it numerically.

Martingale

Posts: 350
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA

### Re: Solving an equation with logarithms

Turns out you are correct. The professor solved using trial and error values for W (ie. numerically).
phiv

Posts: 2
Joined: Fri Nov 05, 2010 1:13 am