Math Is Fun Forum

Jitse

Member

Registered: 2007-09-15

Posts: 6

Simplification of equation

This is an equation, which I can solve, but my result is quite complex, and I know you could easily simplify it to a better-looking result, I just don't know how.

This is the equation:

Now how I solve this:

And then I take my calculator, and get the result:

But I know the more decent result (equal to the one above) would be:

So my question is, how do you get from

to that good-looking result? Or did I just do it in a weird way?

Thanks in advance

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Simplification of equation

I think you've made it more complicated than you needed to by bringing logs in.

And from there it's just a quadratic.

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Why did the vector cross the road?
It wanted to be normal.

Jitse

Member

Registered: 2007-09-15

Posts: 6

Re: Simplification of equation

Sometimes I can be so blind, lol. Thanks. I'll just have to start exercising algebra some more, so I get used to all the common rules like this one.