We have the following expression:
9 ^ n = 49
We apply logarithm to both sides of the expression:
log9 (9 ^ n) = log9 (49)
By properties of logarithm we have:
n = log9 (49)
n = 1.771243749
round to the nearest ten thousandth:
n = 1.7712
Answer:
n = 1.7712