Isolating $t$ in doubling time formula: $500000 = 120 \cdot 2^{\frac t 2}$

Question

I am a having trouble figuring out a way to rearrange the formula $500000 = 120 \cdot 2^{\frac t 2}$ in order to isolate t and get the time.

Answer 1

Let t/2=x Divide both sides by 120 and take log to the base 2 on both sides to give you the value for x and then put the value of x in the formula for t