It would appear that no real number satisfies the domain
This is surely where a teacher is handy to have. Luckily, I also have this forum!
I'm obviously missing something, but I can't figure out the inverse of:
I can isolate one x variable, but can't figure out how to isolate it entirely.
I've tried a bunch of ways, but the main one is:
Take the log base 10 of both sides:
Split off the division into subtraction:
Then I can isolate one x:
I just can't seem to see the way forward. Please, someone help put me out of my misery. Would be much appreciated!
Thanks to you all! I see my mistake. I tried to go too quickly to logs, but I needed to manipulate it quite a bit before I even get there. I love that I got two different ways to arrive at the solution. Going through Archie Meade's solution to the end, I get the textbook answer of .
And e^(i*pi)'s solution reduces to the same thing if I just do the somewhat obvious .
Thanks again. And on to the next problem I go.