Question

x triples every second how long will log2x change every second

Answer 1

Let say x triples every second, which means that it is following the curve of

x = 3^t*k, where t is the time in secs a d k is some proportionality constant.

now if we consider the log2x factor. Now x is tripling every second,
after each passing second, it becomes,
log2(3^t) = log2+t*log3, which is a linear equation in t,
thus,
if x triples with every second, log2x will only increase in a linearly with every second by a factor of log3