How do you solve #9^r=49#?

1 Answer
Sep 18, 2016

Answer:

#r~~ 1.771243749#

Explanation:

If #9^r=49#
then
#color(white)("XXX")log_9 9^r =log_9 49#
and since #log_9 9^r =r#
#color(white)("XXX")r=log_9 49#

Use a calculator or spreadsheet to find
#color(white)("XXX")log_9 49 ~~ 1.771243749#