Question

How do you solve `3(2)^(x-2)+1=100`?

Answer 1

`x = log_2(33)+2`

Explanation:

As it is written, the answer does not look well rounded.
Here is the solution of the original equation
`3*2^(x-2) + 1 = 100`

subtract `1` from both sides:
`3*2^(x-2) = 99`

divide by 3 both sides:
`2^(x-2) = 33`

apply `log_2()` to both sides:
`x-2 = log_2(33)`

add `2` to both sides:
`x = log_2(33)+2`