Question

How do you calculate `log_(7) 49`?

Answer 1

`log_7 49 = color(blue)(2)`

Explanation:

By observation `7^2 =49`
and we know that
`color(white)("XXX")log_b a = c`
means `a=b^c`

So `log_7 49=c`
means `7^2=7^c`

and therefore
`color(white)("XXX")c=2`