12^r=13 round to the nearest ten thousandth

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

The answer is 1.032, you would put into the calculator log (base12) (13)