9^n=49 round to the nearest ten thousandth

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