Question

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

Answer 1

`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`