- #1

- 42

- 0

## Homework Statement

a^2 + 2^a = 100, where a is an integer, find a.

## Homework Equations

all laws of indices and laws of log, I think

## The Attempt at a Solution

By trial and error, answer can be easily determined, which is 6.

However, I am unsure how to approach this problem with algebraic approach. My attempts with log basically fail, because i ended up with log (a+b), which I don't know how to carry on.