For the function P(t)=765(1.02)^t, what value is t when P(t) exceeds 1000?

Question

My answer: t=14

Answer 1

765 * 1.02^t > 1000
1.02^t > 1.3072
t ln1.02 > ln(1.3072) = 0.2679
t > 13.5