How can I solve a^i=b in Objective C?

[rhenretta]

My math skills are failing me, and I was hoping one of you could help me with this real quick..

I need to solve for i:
a^{i}=b

a in this case is based on the interval in the musical scale, so
a = 2^{\frac{1}{12}}

I have to solve this in objective c, and apparently it doesn't let me solve logarithms except for bases 2, 10, and e

 

[chiro]

My math skills are failing me, and I was hoping one of you could help me with this real quick..

I need to solve for i:
a^{i}=b

a in this case is based on the interval in the musical scale, so
a = 2^{\frac{1}{12}}

I have to solve this in objective c, and apparently it doesn't let me solve logarithms except for bases 2, 10, and e

Hey rhenretta.

This kind of problems what is called logarithms. Basically logs and exponentials are inverses in that log(e^x) = x and e(log(x)) = x for valid x's. So we have:

log_a(a^{i}) = log_a(b) gives us
i = log_a(b) = \frac{ln(b)}{ln(a)}

where ln(x) is the natural logarithm function.

 

[rhenretta]

Thanks chiro :)