Solve 4^(x+2)= 160

Question

How would I round this answer to the nearest hundredth?

My answer was 200, I don't believe I worked the problem out correctly.

Answer 1

4^(x+2)=160
(x+2)ln4 = ln160
x+2 = ln160/ln4
x = ln160/ln4 - 2
= 1.66

Did you think to check whether 4^202 = 160? I mean, 4^4 = 256!