Question

How do you solve `2^(x-9) = 5`?

Answer 1

`x=11.3223`

Explanation:

As `2^(x-9)=5`, writing in logarithmic form we have

`(x-9)=log_2(5)`, which can be also written as

`(x-9)=log5/log2`

= `0.6990/0.3010=2.3223`

and `x=9+2.3223=11.3223`