# Math Help - linearizing log equations

1. ## linearizing log equations

Could I get some help on the attached problem?
Thanks.

The attachment has my work on it.

2. ## Re: linearizing log equations

The problem is in the beginning. Because if you take the logarithm of the two sides then the equation becomes:
$\log(y)=\log(5\cdot 2^x+8)$
But there's no rule for $\log(a+b)=...?$.

3. ## Re: linearizing log equations

Then how can the difficulty be avoided?