We have the following expression:
12 ^ r = 13
We apply logarithm to both sides of the expression:
log12 (12 ^ r) = log12 (13)
By properties of logarithm we have:
r = log12 (13)
r = 1.032211555
round to the nearest ten thousandth:
r = 1.0322
Answer:
r = 1.0322