I was recently exposed to the following problem on my homework and I am stumped:
log(base 5)((sin(x))=-1/2
I have no idea how to proceed. This was my thought process working out the problem:
log(base b)(x) = y
b^y = x
Therefore:
5^(-1/2) = sin x
- sqrt(5) = sin x
.... but I am at a loss to try and derive the number of possible answers from this answer. The interval is [0, 2pi). Thank you.