Question

How do you simplify `4^(log_2 [log_ 2(x^2+24x))]`?

Answer 1

This is the best I got:

Explanation:

I tried writing `4` as `2*2`:
`(2*2)^(log_2[log_2(x^2+24x)])=2^(log_2[log_2(x^2+24x)])*2^(log_2[log_2(x^2+24x)])=`
And:
`=cancel(2)^(cancel(log_2)[log_2(x^2+24x)])*cancel(2)^(cancel(log_2)[log_2(x^2+24x)])=`
`=log_2(x^2+24x)log_2(x^2+24x)`