2=(1.0669)^t

Question

how do I set up the log equation for this problem

Answer 1

2 = 1.0669^t

log 2 = log 1.0669^t

log 2 = t * (log 1.0669)

t = (log 2) / (log 1.0669)

t ≈ 10.704

Answer 2

log_ab = c (start from "a" and make counterclockwise loop trough "c" to "b")  a^c = b 

log_1.06692 = t ---> t = 10.703777729